Paper Citation Record · LEDGER

Idempotents, traces, and dimensions in Hecke categories

As of 17 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 1 inbound Pith citation observation for arXiv:2507.10061.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.10061 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:45:17.938897Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-09T22:47:30.597737Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-09T22:49:15.526599Z

Reference resolution

57 of 57 outbound references displayed

verified exact28
verified fuzzy3
unresolved26
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

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Outbound references

Observation 5c511595-b772-4207-a18c-e6349088872f · outbound

This paper cites an unresolved cited work.

Idempotents, traces, and dimensions in Hecke categories Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-08-06T17:45:18.286096Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cafecf75-6160-44cb-a3c1-9255dfa29c0c · outbound

This paper cites Subrings of the asymptotic Hecke algebra of type $H_4$.

Idempotents, traces, and dimensions in Hecke categories Subrings of the asymptotic Hecke algebra of type $H_4$

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:21.276178Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 35938944-77fe-4795-9bd7-123ae3fd8ec8 · outbound

This paper cites Tilting modules and cellular categories.

Idempotents, traces, and dimensions in Hecke categories Tilting modules and cellular categories

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:21.261971Z

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Observation b6fb1c8b-87a9-4a08-93b3-08abaf654b48 · outbound

This paper cites Cellular structures using $\textbf{U}_q$-tilting modules.

Idempotents, traces, and dimensions in Hecke categories Cellular structures using $\textbf{U}_q$-tilting modules

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:13.647520Z

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Observation e5a19c46-af45-4fd8-a666-c2d509e8db3e · outbound

This paper cites On the structure of the affine asymptotic Hecke algebras.

Idempotents, traces, and dimensions in Hecke categories On the structure of the affine asymptotic Hecke algebras

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:21.237045Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 000e7f49-ba6e-4418-b09a-ba47d8b6dfdd · outbound

This paper cites On tensor categories attached to cells in affine Weyl groups, III.

Idempotents, traces, and dimensions in Hecke categories On tensor categories attached to cells in affine Weyl groups, III

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:21.222553Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation aa4cff8b-6178-4d6a-bad4-6b20645ecf9d · outbound

This paper cites $p$-Jones-Wenzl idempotents.

Idempotents, traces, and dimensions in Hecke categories $p$-Jones-Wenzl idempotents

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:13.835331Z

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Observation beebe913-3585-4a50-b8cc-df536baa5621 · outbound

This paper cites Brou \'e and G.

Idempotents, traces, and dimensions in Hecke categories Brou \'e and G

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:21.324232Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c5a53ab1-d1c8-4099-b1bf-c368ae93896f · outbound

This paper cites Chen and H.

Idempotents, traces, and dimensions in Hecke categories Chen and H

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-06T17:45:21.197724Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1e7c3867-f95e-45fd-bb76-ef7ab3822ffb · outbound

This paper cites Positivity results for the Hecke algebras of non-crystallographic finite Coxeter groups.

Idempotents, traces, and dimensions in Hecke categories Positivity results for the Hecke algebras of non-crystallographic finite Coxeter groups

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:14.043015Z

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Observation eecfdcd1-eca9-4914-b6d8-3328a752e4c0 · outbound

This paper cites Etingof, S.

Idempotents, traces, and dimensions in Hecke categories Etingof, S

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:14.126858Z

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Observation 54a36d42-1898-4113-8158-c0393674b755 · outbound

This paper cites Subexpressions and the Bruhat order for double cosets.

Idempotents, traces, and dimensions in Hecke categories Subexpressions and the Bruhat order for double cosets

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:21.100458Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 94f50561-f6d0-4c44-90ea-cc109a500878 · outbound

This paper cites Trace decategorification of the Hecke category.

Idempotents, traces, and dimensions in Hecke categories Trace decategorification of the Hecke category

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:21.085905Z

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Observation cc2fd7e9-2cc1-4f5b-a71d-ae657eaabd25 · outbound

This paper cites Soergel bimodules for universal Coxeter groups.

Idempotents, traces, and dimensions in Hecke categories Soergel bimodules for universal Coxeter groups

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:14.338153Z

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Observation 87e4e322-c5c9-426c-a0de-de46ec998383 · outbound

This paper cites A Diagrammatic Temperley-Lieb Categorification.

Idempotents, traces, and dimensions in Hecke categories A Diagrammatic Temperley-Lieb Categorification

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:21.060926Z

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Observation 23b9297b-73a5-4f0a-b1f2-07612a81ccd3 · outbound

This paper cites Light ladders and clasp conjectures.

Idempotents, traces, and dimensions in Hecke categories Light ladders and clasp conjectures

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:14.503681Z

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Unavailable: canonical work link unavailable.

Observation d41b5c34-0649-4fe0-acb0-5667abc03489 · outbound

This paper cites Thick Soergel calculus in type A.

Idempotents, traces, and dimensions in Hecke categories Thick Soergel calculus in type A

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:14.580785Z

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Observation 39725e27-7a1d-4e66-9006-bea60dd26075 · outbound

This paper cites The two-color Soergel calculus.

Idempotents, traces, and dimensions in Hecke categories The two-color Soergel calculus

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:14.653179Z

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Observation dbaa4ae9-3ea9-489c-8664-ffd1f8694084 · outbound

This paper cites Quantum Satake in type A: part I.

Idempotents, traces, and dimensions in Hecke categories Quantum Satake in type A: part I

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:14.729896Z

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Unavailable: canonical work link unavailable.

Observation cdf30f73-794e-4771-bd36-dd3855640883 · outbound

This paper cites Elias, S.

Idempotents, traces, and dimensions in Hecke categories Elias, S

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:14.832684Z

Source-reported events for the cited work

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Observation dca29664-cb49-4b6d-8add-2e3a850dc9ce · outbound

This paper cites Elias, L.

Idempotents, traces, and dimensions in Hecke categories Elias, L

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:21.313865Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d9f5a46a-68cc-4e6a-8ea8-a1ad405bc650 · outbound

This paper cites Elias, L.

Idempotents, traces, and dimensions in Hecke categories Elias, L

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:21.303125Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6354bd03-0dc1-4d1d-b8e6-2526f1259155 · outbound

This paper cites The Hodge theory of Soergel bimodules.

Idempotents, traces, and dimensions in Hecke categories The Hodge theory of Soergel bimodules

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:21.003643Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a0f2ba6b-2400-44b5-b83f-c64cadf94aa4 · outbound

This paper cites Soergel Calculus.

Idempotents, traces, and dimensions in Hecke categories Soergel Calculus

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:15.142297Z

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Observation c0f3a73f-8e64-4610-b124-300ba2609ebd · outbound

This paper cites Relative hard Lefschetz for Soergel bimodules.

Idempotents, traces, and dimensions in Hecke categories Relative hard Lefschetz for Soergel bimodules

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:20.977332Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 36eef4a6-1fd5-4738-ba3c-50977304f38a · outbound

This paper cites Localized calculus for the Hecke category.

Idempotents, traces, and dimensions in Hecke categories Localized calculus for the Hecke category

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:20.962479Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 976eaae6-c039-4b89-abd5-69bf16c21864 · outbound

This paper cites an unresolved cited work.

Idempotents, traces, and dimensions in Hecke categories Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:45:21.292823Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3c7e91aa-19c7-4476-b053-094e4a2e67a8 · outbound

This paper cites Calculating the $p$-canonical basis of Hecke algebras.

Idempotents, traces, and dimensions in Hecke categories Calculating the $p$-canonical basis of Hecke algebras

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:20.946711Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d259dc86-90af-4d82-ab50-0da864c85862 · outbound

This paper cites Soergel calculus and Schubert calculus.

Idempotents, traces, and dimensions in Hecke categories Soergel calculus and Schubert calculus

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:20.930277Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 997e7fab-cc23-454b-82cf-16f6bf14b0cd · outbound

This paper cites The $p$-Canonical Basis for Hecke Algebras.

Idempotents, traces, and dimensions in Hecke categories The $p$-Canonical Basis for Hecke Algebras

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:15.644176Z

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Observation 9e89c6bb-5aa7-4ec4-aecc-ff60a12f8713 · outbound

This paper cites Kazhdan and G.

Idempotents, traces, and dimensions in Hecke categories Kazhdan and G

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:15.737128Z

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Observation a3e9b5d5-d649-4693-842e-e4278f79fe86 · outbound

This paper cites Kauffman and S.L.

Idempotents, traces, and dimensions in Hecke categories Kauffman and S.L

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:15.793250Z

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Observation 94cac0dd-3cb1-426f-8713-3bb770968e3e · outbound

This paper cites Sur la cat\'egorie des bimodules de Soergel.

Idempotents, traces, and dimensions in Hecke categories Sur la cat\'egorie des bimodules de Soergel

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:20.902495Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bdb0c50a-7967-42d2-a902-bec1a2be7661 · outbound

This paper cites an unresolved cited work.

Idempotents, traces, and dimensions in Hecke categories Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:15.951436Z

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Observation f23bddaf-82d5-4ba3-8c20-2cc5924c1b93 · outbound

This paper cites an unresolved cited work.

Idempotents, traces, and dimensions in Hecke categories Unresolved cited work

Reference 35

Resolution: verified exact; doi, observed 2026-08-06T17:45:18.127711Z

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Observation 4b0f6d52-6a43-4c39-9a77-dbcd37fa4853 · outbound

This paper cites an unresolved cited work.

Idempotents, traces, and dimensions in Hecke categories Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:16.098869Z

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Observation 92cac230-c2ae-4fd8-be00-56fcf67b25cd · outbound

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Idempotents, traces, and dimensions in Hecke categories Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:16.162257Z

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Observation 7ad52c55-02d4-4671-8b0a-c09829b71cd2 · outbound

This paper cites an unresolved cited work.

Idempotents, traces, and dimensions in Hecke categories Unresolved cited work

Reference 38

Resolution: verified exact; raw_fallback, observed 2026-08-06T17:45:20.885201Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation dfc210e3-8282-43d6-a0f4-2c0919c105f9 · outbound

This paper cites Hecke algebras with unequal parameters.

Idempotents, traces, and dimensions in Hecke categories Hecke algebras with unequal parameters

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:16.285417Z

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Observation be99f32e-8710-4ecd-999f-f7d6642f5b45 · outbound

This paper cites A non-perverse Soergel bimodule in type A.

Idempotents, traces, and dimensions in Hecke categories A non-perverse Soergel bimodule in type A

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:20.758119Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 54050048-3c3e-499f-b871-654270df6176 · outbound

This paper cites Cell 2-representations of finitary 2-categories.

Idempotents, traces, and dimensions in Hecke categories Cell 2-representations of finitary 2-categories

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:20.499332Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 41e1aac8-6585-48ab-a87d-073ff0adedbb · outbound

This paper cites Finitary birepresentations of finitary bicategories.

Idempotents, traces, and dimensions in Hecke categories Finitary birepresentations of finitary bicategories

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:20.314224Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1c55c119-3f9d-48db-a64e-8146d14b3723 · outbound

This paper cites Simple transitive $2$-representations of Soergel bimodules for finite Coxeter types.

Idempotents, traces, and dimensions in Hecke categories Simple transitive $2$-representations of Soergel bimodules for finite Coxeter types

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:16.690760Z

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Observation 81a02225-a87b-4b10-8d46-e5117c9ac738 · outbound

This paper cites $(\ell,p)$-Jones-Wenzl Idempotents.

Idempotents, traces, and dimensions in Hecke categories $(\ell,p)$-Jones-Wenzl Idempotents

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:16.783716Z

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Observation 7212b779-eeb1-44b9-a5bc-13d8e97465d2 · outbound

This paper cites Two-color Soergel calculus and simple transitive 2-representations.

Idempotents, traces, and dimensions in Hecke categories Two-color Soergel calculus and simple transitive 2-representations

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:20.125286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3369a505-f501-4f28-b805-7dda8de41852 · outbound

This paper cites Tensor categories attached to exceptional cells in Weyl groups.

Idempotents, traces, and dimensions in Hecke categories Tensor categories attached to exceptional cells in Weyl groups

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:19.928109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1195873a-a0bb-486b-a099-8b9f29d00979 · outbound

This paper cites Rogel and U.

Idempotents, traces, and dimensions in Hecke categories Rogel and U

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:16.990764Z

Source-reported events for the cited work

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Observation 425332ef-3f58-48ac-bc9e-3711ff0039a6 · outbound

This paper cites an unresolved cited work.

Idempotents, traces, and dimensions in Hecke categories Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:17.117736Z

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Unavailable: canonical work link unavailable.

Observation fe4149db-f84e-42bb-9399-089b446c4c34 · outbound

This paper cites Kazhdan-Lusztig-Polynome und unzerlegbare Bimoduln "uber Polynomringen.

Idempotents, traces, and dimensions in Hecke categories Kazhdan-Lusztig-Polynome und unzerlegbare Bimoduln "uber Polynomringen

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:19.696492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ea0665ff-e12e-40cf-9068-2e1745959690 · outbound

This paper cites SL2 tilting modules in the mixed case.

Idempotents, traces, and dimensions in Hecke categories SL2 tilting modules in the mixed case

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:17.368479Z

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Unavailable: canonical work link unavailable.

Observation 68874ca3-d32a-411a-8700-b8a68bad73b0 · outbound

This paper cites Sandwich cellularity and a version of cell theory.

Idempotents, traces, and dimensions in Hecke categories Sandwich cellularity and a version of cell theory

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:17.455615Z

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Observation 6125b109-6f2a-43b8-a74e-60dadbffbf7f · outbound

This paper cites Quivers for SL(2) tilting modules.

Idempotents, traces, and dimensions in Hecke categories Quivers for SL(2) tilting modules

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:19.494467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2a977fdf-4466-46c2-a84d-b9e4f7753593 · outbound

This paper cites Canonical bases and higher representation theory.

Idempotents, traces, and dimensions in Hecke categories Canonical bases and higher representation theory

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:17.625780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac9b6a00-b1f8-4116-9b38-adb027bb9621 · outbound

This paper cites Singular Soergel bimodules.

Idempotents, traces, and dimensions in Hecke categories Singular Soergel bimodules

Reference 54

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:19.164498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5d11f564-e461-4cd1-a20d-4c80dff31854 · outbound

This paper cites Schubert calculus and torsion explosion.

Idempotents, traces, and dimensions in Hecke categories Schubert calculus and torsion explosion

Reference 55

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:18.982643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 36deab5e-a38a-4d44-a39f-3112f282ceda · outbound

This paper cites Parity sheaves and the Hecke category.

Idempotents, traces, and dimensions in Hecke categories Parity sheaves and the Hecke category

Reference 56

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:18.695771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 83212dcc-c03f-4645-885b-ad20ce83d4f7 · outbound

This paper cites On the subregular $J$-rings of Coxeter systems.

Idempotents, traces, and dimensions in Hecke categories On the subregular $J$-rings of Coxeter systems

Reference 57

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:18.437064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation 9d82b1f2-c5ed-4924-9f4a-83179d65e405 · inbound

Almost finitary birepresentation theory and applications to affine Soergel bimodules cites this paper.

Almost finitary birepresentation theory and applications to affine Soergel bimodules Idempotents, traces, and dimensions in Hecke categories

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-09T22:49:15.527822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.