Paper Citation Record · LEDGER

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$

As of 18 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2506.21856.

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

pith.paper-citation-record.v1
2506.21856 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:37:23.444077Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

20 of 20 outbound references displayed

verified exact0
verified fuzzy17
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b4e925ee-a467-4387-b16b-18bbb630e011 · outbound

This paper cites Two-parameter quantum groups of exceptional type E-series and convex PBW-type basis.Algebra Colloq., 15(4):619–636, 2008.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Two-parameter quantum groups of exceptional type E-series and convex PBW-type basis.Algebra Colloq., 15(4):619–636, 2008

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:27.107696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7a2f5774-8b74-48d0-8a02-9ac7b84b4110 · outbound

This paper cites an unresolved cited work.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:37:26.930413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3ce807de-799a-4739-9a80-e0d385447cd1 · outbound

This paper cites Representations of two-parameter quantum groups and Schur-Weyl duality.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Representations of two-parameter quantum groups and Schur-Weyl duality

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:26.721561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bacd4160-929d-436c-8785-fc382f5fc50b · outbound

This paper cites Two-parameter quantum groups and drinfeld doubles.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Two-parameter quantum groups and drinfeld doubles

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:26.427050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 59002cc6-b57b-4e25-9e04-63ffaf3779a2 · outbound

This paper cites Quantum Heisenberg enveloping algebras at roots of unity.J.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Quantum Heisenberg enveloping algebras at roots of unity.J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:26.288821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0ee29ebd-6ebd-4184-924c-a044e2e86ab4 · outbound

This paper cites $U_q^+(B_2)$ and its representations.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ $U_q^+(B_2)$ and its representations

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T22:37:22.232890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d80952e-d7c8-49fe-bffe-1313d687ba2f · outbound

This paper cites Drinfeld doubles and lusztig’s symme- tries of two-parameter quantum groups.J.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Drinfeld doubles and lusztig’s symme- tries of two-parameter quantum groups.J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:26.100398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 35b3b26c-84ae-4c96-8fc2-779871df8078 · outbound

This paper cites Brown and Ken R.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Brown and Ken R

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:25.888440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0d8cc017-7b62-425a-aa95-69946d3df789 · outbound

This paper cites De Concini and C.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ De Concini and C

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:25.670597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 93c8e7fa-59d9-4c89-955e-4b5c73b5aba3 · outbound

This paper cites Two-parameter quantum affine algebra Ur,s(ˆsln), Drinfeld realization and quantum affine Lyndon basis.Comm.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Two-parameter quantum affine algebra Ur,s(ˆsln), Drinfeld realization and quantum affine Lyndon basis.Comm

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:25.532961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 821248fc-e5a6-4440-bd68-5b3ddd5d5147 · outbound

This paper cites The two-parameter quantum group of exceptional type G2 and Lusztig’s symmetries.Pacific J.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ The two-parameter quantum group of exceptional type G2 and Lusztig’s symmetries.Pacific J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:25.352474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a844d9b4-107f-4816-8c38-ce4d0f9d635d · outbound

This paper cites On the centre of two-parameter quantum groupsUr,s(g) for typeBn with n even.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ On the centre of two-parameter quantum groupsUr,s(g) for typeBn with n even

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:25.169143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fadf64d4-452a-4dd3-85c9-a46d962c3061 · outbound

This paper cites Convex PBW-type Lyndon basis and restricted two-parameter quantum groups of typeG2.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Convex PBW-type Lyndon basis and restricted two-parameter quantum groups of typeG2

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:24.908110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1752ccc9-692f-42b9-9ab9-0ebdcf96b04e · outbound

This paper cites Convex PBW-type Lyndon bases and restricted two-parameter quantum groups of typeB.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Convex PBW-type Lyndon bases and restricted two-parameter quantum groups of typeB

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:24.701628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation db19cf43-ee81-4d83-9b43-947274cc9463 · outbound

This paper cites Lopes, and Alexandra Rogers.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Lopes, and Alexandra Rogers

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:24.469471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9e6cfdfc-39c7-4f96-9d16-4cb37ad929f2 · outbound

This paper cites an unresolved cited work.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:37:24.221793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5e68d4e6-1df3-41fd-9ce9-461a088e1231 · outbound

This paper cites Construction of simple modules over the quantum affine space.Algebra Colloq., 31(1):1–10, 2024.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Construction of simple modules over the quantum affine space.Algebra Colloq., 31(1):1–10, 2024

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:24.086284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f2817780-1016-46e2-ab52-266283ada5a7 · outbound

This paper cites Representations of quantum nilpotent algebras at roots of unity and their completely prime quotients.PhD Thesis, Univ.

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Representations of quantum nilpotent algebras at roots of unity and their completely prime quotients.PhD Thesis, Univ

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:23.938688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 43ec4edb-8e51-40ff-8b70-0db03a1b11e8 · outbound

This paper cites The prime ideal stratification and the automorphism group ofU + r,s(B2).

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ The prime ideal stratification and the automorphism group ofU + r,s(B2)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:23.797423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b3d4167f-9706-44f8-8a00-4353cf4714a8 · outbound

This paper cites Derivations of the two-parameter quantized enveloping algebraU + r,s(B2).

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$ Derivations of the two-parameter quantized enveloping algebraU + r,s(B2)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:37:23.620798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.