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Paper Citation Record · LEDGER

The lattice of normal reflection subgroups of an irreducible reflection group

As of 13 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2607.05466.

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

pith.paper-citation-record.v1
2607.05466 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T15:10:47.642128Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

48 of 48 outbound references displayed

  • verified exact11
  • verified fuzzy0
  • unresolved34
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e0e775c9-4412-4100-817d-a5885d474cb1 · outbound

This paper cites On Normalizers of Parabolic Subgroups of Quaternionic Reflection Groups.

The lattice of normal reflection subgroups of an irreducible reflection group On Normalizers of Parabolic Subgroups of Quaternionic Reflection Groups

Reference 1

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local_arxiv, observed 2026-07-11T15:18:04.940927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:6d7d52fcfd94e8ff117f4af2f54e341b4cc06d22f908b44c448e448e2bc26c16

Observation a3faf19c-f958-4d78-b9a6-64a403b197fe · outbound

This paper cites An elementary classification of the quaternionic reflection groups of rank two.

The lattice of normal reflection subgroups of an irreducible reflection group An elementary classification of the quaternionic reflection groups of rank two

Reference 2

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:d2b66d5df913813b06af917f9056a1198d15a5ac7f2667298053106c32f06779

Observation ca27df26-887a-44c0-a4c4-cb0c9e3e3ae4 · outbound

This paper cites The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$.

The lattice of normal reflection subgroups of an irreducible reflection group The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$

Reference 3

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local_arxiv, observed 2026-07-11T15:18:05.014142Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 157d8997-214a-4b7a-b0b0-a75ffa7ddb17 · outbound

This paper cites Electron.

The lattice of normal reflection subgroups of an irreducible reflection group Electron

Reference 4

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arxiv_id, observed 2026-07-11T15:18:05.005915Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:2b4174b5f59385613a741bad76a0def96dc4631cdaeee80b2c8bf7f81ebabe57

Observation 7bf7792a-0bf4-49d1-aee8-ffb107209843 · outbound

This paper cites Quotients et extensions de groupes de r\'.

The lattice of normal reflection subgroups of an irreducible reflection group Quotients et extensions de groupes de r\'

Reference 5

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doi, observed 2026-07-11T15:18:04.971529Z

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:4bc2b40aa8e5f2bdde06e328408d4650e144deacaa6a346bc2410b0039dc1b09

Observation e7970811-e493-4cf1-94db-9bc46f056e45 · outbound

This paper cites Manuscripta Math.

The lattice of normal reflection subgroups of an irreducible reflection group Manuscripta Math

Reference 6

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:32345fb56fb843ffea43c731506e66900b39c5085c460f252bca5bd99337f274

Observation b0f04c3a-2a59-4ebb-a47d-f1753fe80cb0 · outbound

This paper cites Discrete complex reflection groups.

The lattice of normal reflection subgroups of an irreducible reflection group Discrete complex reflection groups

Reference 7

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local_arxiv, observed 2026-07-11T15:18:04.948363Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:02a30806fbf9d062f67a599a27438ebd2d83b0522391eb9d2402233abe4dad52

Observation 648e8ab2-6bc5-499e-b4d4-64bc22f776d4 · outbound

This paper cites an unresolved cited work.

The lattice of normal reflection subgroups of an irreducible reflection group Unresolved cited work

Reference 8

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:dcf3200d7401ff711d0197b89a79c7ceb315abf6609473f396a34e518bdcab3d

Observation eb284ef8-e9bd-4959-8654-04d94a14393f · outbound

This paper cites Matthew and Pfeiffer, G\".

The lattice of normal reflection subgroups of an irreducible reflection group Matthew and Pfeiffer, G\"

Reference 9

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:41d8395c1b45d1894d19b7cc473d66bc54227a4edeaacd355329843fb98e40cd

Observation a7f0aa5b-9b4b-4f6e-9b32-fa003d8be79e · outbound

This paper cites an unresolved cited work.

The lattice of normal reflection subgroups of an irreducible reflection group Unresolved cited work

Reference 10

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:e920c7cfbe93e82a5a21ef8c7feebdff5fdffe75693f1da861b1f055c0ab6534

Observation 45370d3e-2e50-420d-885c-a47908578e42 · outbound

This paper cites an unresolved cited work.

The lattice of normal reflection subgroups of an irreducible reflection group Unresolved cited work

Reference 11

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Observation 3862ebd1-b24b-432a-91fa-52a13a83512e · outbound

This paper cites an unresolved cited work.

The lattice of normal reflection subgroups of an irreducible reflection group Unresolved cited work

Reference 12

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:6aa15d5aca3875d365be9807f6705b274e64bf72c470bbe5cf7ee669f15cd418

Observation 8f29bfb5-9f6e-452b-88a4-f8037878d134 · outbound

This paper cites and Williams, Nathan F.

The lattice of normal reflection subgroups of an irreducible reflection group and Williams, Nathan F

Reference 13

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 6c3a0b67-dfda-4f24-a546-0001e6e8d9d2 · outbound

This paper cites and Williams, Nathan F.

The lattice of normal reflection subgroups of an irreducible reflection group and Williams, Nathan F

Reference 14

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:f7b515fbd621f20e94a6892100b40c753a3b20674f1f80117245807c541dca48

Observation 29f2ec54-aa21-4a4b-903b-15ad36209495 · outbound

This paper cites an unresolved cited work.

The lattice of normal reflection subgroups of an irreducible reflection group Unresolved cited work

Reference 15

Resolution
verified exact
doi, observed 2026-07-11T15:18:05.020592Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:87efc875a0b10a3677f45c985f7cc0c66c498d783c7ae947f3212f465cfcb69c

Observation 1854c147-b10e-4308-b2d4-56e1657e9ab6 · outbound

This paper cites and Taylor, Donald E.

The lattice of normal reflection subgroups of an irreducible reflection group and Taylor, Donald E

Reference 16

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:684a9d1e6951cdb34ab305b628d48c77aca66f956841c5338296362a20fe46a3

Observation 3d614ff2-0e2d-4b6e-9a18-5e69d8d6700c · outbound

This paper cites Finite collineation groups : with an introduction to the theory of operators and substitution groups.

The lattice of normal reflection subgroups of an irreducible reflection group Finite collineation groups : with an introduction to the theory of operators and substitution groups

Reference 17

Resolution
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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:8bc451b0a419833a17652205edf88f6b3ceb90b1ddcd6c648d7594f84eced8af

Observation 88a7d342-36f8-4a63-9e14-7667809a530e · outbound

This paper cites Introduction to complex reflection groups and their braid groups , SERIES =.

The lattice of normal reflection subgroups of an irreducible reflection group Introduction to complex reflection groups and their braid groups , SERIES =

Reference 18

Resolution
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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:e662b73d5ce53c8e38a2d27bfe77e6b8c3e5b136224eb775d8e1234a6061bfd5

Observation dbb081b0-b32a-4141-8fae-181967ff1d08 · outbound

This paper cites Complex reflection groups, braid groups,.

The lattice of normal reflection subgroups of an irreducible reflection group Complex reflection groups, braid groups,

Reference 19

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:62651741aad8c3c75a156f19d2078f73d65d2eba042f04d769db83d546521288

Observation 6c267dbb-70f4-47f8-805d-15f74b988a3d · outbound

This paper cites , TITLE =.

The lattice of normal reflection subgroups of an irreducible reflection group , TITLE =

Reference 20

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:4029b49888f209d9bbc9f7615541fcc4cfaac4a0fa3dace7aea9c7d4be849023

Observation bd6a99ca-81dd-46df-a37a-3bc660cb72a5 · outbound

This paper cites , TITLE =.

The lattice of normal reflection subgroups of an irreducible reflection group , TITLE =

Reference 21

Resolution
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doi, observed 2026-07-11T15:18:04.976980Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:c88d2dbbff551a9e329d1a40dba34f5678eea4454640b6d787760309ec6918d2

Observation 89f6b333-9869-479c-9233-0718bda70921 · outbound

This paper cites arXiv e-prints , keywords =.

The lattice of normal reflection subgroups of an irreducible reflection group arXiv e-prints , keywords =

Reference 22

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arxiv_id, observed 2026-07-11T15:18:04.962273Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:cedd5e63b20037ed7490f7906f024fa40a8c353a3e8e68ea8bf206e5b881d611

Observation fd1e1e55-96b2-427c-a958-d30f0cec601c · outbound

This paper cites preprint , year = 2026, month = april, adsurl =.

The lattice of normal reflection subgroups of an irreducible reflection group preprint , year = 2026, month = april, adsurl =

Reference 23

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Observation d500cf9b-dfa2-4aad-927f-5ac38f9bfe19 · outbound

This paper cites an unresolved cited work.

The lattice of normal reflection subgroups of an irreducible reflection group Unresolved cited work

Reference 24

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 158fa79c-7d3e-489f-b84f-acd41513f5a5 · outbound

This paper cites Arreche and Nathan F.

The lattice of normal reflection subgroups of an irreducible reflection group Arreche and Nathan F

Reference 25

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:55a6ebc42e1b8c9617103fb2410bec7c548667ee19327e52f459d72e5734fb2a

Observation 1bd23f8b-b035-403f-9d68-c9fed56939cf · outbound

This paper cites Arreche and Nathan F.

The lattice of normal reflection subgroups of an irreducible reflection group Arreche and Nathan F

Reference 26

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:2b529a4b1f422eeff21ba1bc06656200251d6d3d6288676c33f781931a2321e6

Observation 3ef0ed9b-4fb5-43cb-9d70-b302d0dae8de · outbound

This paper cites Quotients et extensions de groupes de r\' e flexion.

The lattice of normal reflection subgroups of an irreducible reflection group Quotients et extensions de groupes de r\' e flexion

Reference 27

Resolution
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no resolver link, observed 2026-07-11T15:10:47.642128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:5af5c4fa717eff7bf23a0cc3b9179ebe4ee3d3cab516e60f64f060626f368e0e

Observation 639d0a2e-d553-42b1-b399-374745c14e27 · outbound

This paper cites Abelianization of subgroups of reflection groups and their braid groups: an application to cohomology.

The lattice of normal reflection subgroups of an irreducible reflection group Abelianization of subgroups of reflection groups and their braid groups: an application to cohomology

Reference 28

Resolution
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no resolver link, observed 2026-07-11T15:10:47.642128Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:06375ad8ac9cdbc2d3778728ca453b24ad8b2e7ee666f36f6fed59dc0242a20d

Observation a0bab21b-8138-4e70-a95d-59f87d182765 · outbound

This paper cites Finite collineation groups : with an introduction to the theory of operators and substitution groups.

The lattice of normal reflection subgroups of an irreducible reflection group Finite collineation groups : with an introduction to the theory of operators and substitution groups

Reference 29

Resolution
unresolved
no resolver link, observed 2026-07-11T15:10:47.642128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:293190647d180701aece91e85a34127b4a780aba58f3f863ba9d51d79fb8c128

Observation 5fd4ce18-fe49-4793-960c-e1153f6bc225 · outbound

This paper cites Complex reflection groups, braid groups, H ecke algebras.

The lattice of normal reflection subgroups of an irreducible reflection group Complex reflection groups, braid groups, H ecke algebras

Reference 30

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:78688a7b12ed29d603eba907cb8703ba301752f1bee8c2b59f4f9839a436ef46

Observation f986d86d-97a4-40be-b250-437e27206cc8 · outbound

This paper cites Introduction to complex reflection groups and their braid groups , volume 1988 of Lecture Notes in Mathematics.

The lattice of normal reflection subgroups of an irreducible reflection group Introduction to complex reflection groups and their braid groups , volume 1988 of Lecture Notes in Mathematics

Reference 31

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:a405ed0a8b721bde15a04254f8d6dad3f2a99a22ee97c8d4c5bb2c3c22a7a13e

Observation d2969da2-b8ee-405b-a7b4-a41418dcc8db · outbound

This paper cites On parabolic subgroups of symplectic reflection groups.

The lattice of normal reflection subgroups of an irreducible reflection group On parabolic subgroups of symplectic reflection groups

Reference 32

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:86e8e607af84c4c0467f602f9c234f8c64945175716a3254be1927a885205d45

Observation 232dbf51-83cc-41fe-87ea-5651eda74c16 · outbound

This paper cites Quaternionic MUB s in H^2 and their reflection symmetries.

The lattice of normal reflection subgroups of an irreducible reflection group Quaternionic MUB s in H^2 and their reflection symmetries

Reference 33

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:fcca6a65ff4b19e62e294892d5c654729f8064ebfb406424d06a209008c25d2b

Observation fc4188dd-ab8e-46c3-a6e5-b4ec822e80be · outbound

This paper cites an unresolved cited work.

The lattice of normal reflection subgroups of an irreducible reflection group Unresolved cited work

Reference 34

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:bf30c831a9b5fecc7efaa769d3f3d01490df0eb7746a4c25f31b3467546b2eb2

Observation e74fd3bb-85d8-4c7b-adf0-a1fb0787f21f · outbound

This paper cites an unresolved cited work.

The lattice of normal reflection subgroups of an irreducible reflection group Unresolved cited work

Reference 35

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:f451e76bef90de36d332af8c069e44c860d321aa84d47538103dedcec2d2b800

Observation 839d7413-3482-44e7-b7bc-4f5571b49c4b · outbound

This paper cites o tz Pfeiffer, and Gerhard R\.

The lattice of normal reflection subgroups of an irreducible reflection group o tz Pfeiffer, and Gerhard R\

Reference 36

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:c9a72a3d97769f3154b10b886cdd4fddce3341f419636595bc902e7d0d44f274

Observation 636aafe1-dd49-4c57-8d10-0d756ad43df4 · outbound

This paper cites Satake's good basic invariants for finite complex reflection groups.

The lattice of normal reflection subgroups of an irreducible reflection group Satake's good basic invariants for finite complex reflection groups

Reference 37

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:de2bf2e1d124016c0adfdc423df28703ab1a718c85384579738498acf98e0c1c

Observation db3a1946-a948-462b-9a6d-3b4f156db961 · outbound

This paper cites Lehrer and Donald E.

The lattice of normal reflection subgroups of an irreducible reflection group Lehrer and Donald E

Reference 38

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:1b013635a9c985ff20ad3929a6b50aafd3d0e683b458de289f476b6f4ef4f19f

Observation 3f9cfdf1-d8f1-40bb-a189-ba1f6503cd14 · outbound

This paper cites Discrete complex reflection groups.

The lattice of normal reflection subgroups of an irreducible reflection group Discrete complex reflection groups

Reference 39

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no resolver link, observed 2026-07-11T15:10:47.642128Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:479d846207eb51c13623d6f4b75dc7eb87d97121b443ed49cbc942429180eb0e

Observation 03313907-ea1c-43f5-95c9-5cb3e87444d4 · outbound

This paper cites On Normalizers of Parabolic Subgroups of Quaternionic Reflection Groups.

The lattice of normal reflection subgroups of an irreducible reflection group On Normalizers of Parabolic Subgroups of Quaternionic Reflection Groups

Reference 40

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:f6f63b0ca8108d655a52f31784d1a0a25334925a2eb7af81024d85b51f784473

Observation 09df9c31-e3db-408c-92f5-736b452ee3b6 · outbound

This paper cites an unresolved cited work.

The lattice of normal reflection subgroups of an irreducible reflection group Unresolved cited work

Reference 41

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:b95ad2c2c340867097dadb050226cd0e2b38676c99817ae22a8c4e2e53b813d8

Observation 6714abc0-8194-4c27-b44d-b10b2e59b2fd · outbound

This paper cites Differential equations invariant under finite reflection groups.

The lattice of normal reflection subgroups of an irreducible reflection group Differential equations invariant under finite reflection groups

Reference 42

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:58c2ae2c386021047a3d4676cc44905bb5853024fc4a6db7df32f859b45c07ed

Observation 2457d19f-aa71-4758-9dff-e1f61bd37a02 · outbound

This paper cites an unresolved cited work.

The lattice of normal reflection subgroups of an irreducible reflection group Unresolved cited work

Reference 43

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:8e694162a1f2afd571153d44ead2e44ede51b320b254f3e40edc298171e63c35

Observation d701604b-587b-41f4-ad75-6b05322736fe · outbound

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The lattice of normal reflection subgroups of an irreducible reflection group Unresolved cited work

Reference 44

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:d3bf25df3d17d0cf2ee18c1ad596492dbcd9d6125d2ae2bc6481a34b824f9a5a

Observation 03397f9c-2faf-439d-b5c7-b3c9c8d2de7e · outbound

This paper cites The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$.

The lattice of normal reflection subgroups of an irreducible reflection group The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$

Reference 45

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:d6f7f31cae1f85406fc56b4c01bf9c9ea1765ccd8b1403487cad58438759ab75

Observation f6b7ef78-61e8-4a67-902a-d0ab0c48ea4b · outbound

This paper cites An elementary classification of the quaternionic reflection groups of rank two.

The lattice of normal reflection subgroups of an irreducible reflection group An elementary classification of the quaternionic reflection groups of rank two

Reference 46

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:a90359949680435c4b97f48af2b53c6a1dda36671c850af77c52b808492ebd3e

Observation c60ca035-929e-4bb2-a304-f50cd33e25c0 · outbound

This paper cites The quaternionic systems of imprimitivity for the reflection groups of rank two.

The lattice of normal reflection subgroups of an irreducible reflection group The quaternionic systems of imprimitivity for the reflection groups of rank two

Reference 47

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source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:35f7673c82beac2c373bab84d0ba3d32577935cbba2d91a98e5cfd6c830dab9d

Observation 3209e3a1-04a0-4cdf-bb41-59f16ccde987 · outbound

This paper cites The reflection orbits and normal reflection subgroups of the quaternionic reflection groups.

The lattice of normal reflection subgroups of an irreducible reflection group The reflection orbits and normal reflection subgroups of the quaternionic reflection groups

Reference 48

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