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Paper Citation Record · LEDGER

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

As of 16 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 2026-08-16T06:30:59.297886+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

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  • verified fuzzy17
  • unresolved3
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  • 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

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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:21.875711Z digest=sha256:566277fb18a073e094e8225af46281d868ac662b7e85c5142457f775cdda6fed

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

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:21.953054Z digest=sha256:b6d9e846754dfbc2b56cf9a1aedc48be826dd04006756971908160bc5f3a183c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:22.040311Z digest=sha256:d2c51baa74e7de67c2ea618c0cd134480411e383f79ffe6ae5827ac82db04de2

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

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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:22.127231Z digest=sha256:7a10441dd2386ca0c64b589622f3564ce55f892cba55a3f8f288e18472b73305

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

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raw_fallback, observed 2026-08-06T22:37:26.288821Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:22.226233Z digest=sha256:661213f477a4af853ae217de6c936fe2d4489effcf5dc8dc14dc4b82014c1d23

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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:37:22.232890Z digest=sha256:b4b4e01b2bc9de355fe6e4194e4dcdd0dbd86d77c1a0de5491d5f686c2497bc0

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

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:22.288071Z digest=sha256:639daf91c3a82e993c7e71b12e4c6b1ad17a1b5f6236d6d2e99a779351581562

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

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:22.370980Z digest=sha256:2821d9be4f977d4c084342076bb086aad761d26dfb539986e1889d633026aa37

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

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source=pdf_text observed=2026-08-06T22:37:22.455038Z digest=sha256:d7a04f2c0602069d788327f1b461915c4f03c0c7275b80a55de3cafe2fd1909a

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

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:22.533758Z digest=sha256:0eadc4bd46e0e054afce4bfb053bc837775d06184de1c0e306e92885bd0c9510

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:22.614638Z digest=sha256:3bb4a6148ec6d0f695b3732204d7b1980012d02481fdefee21c0ee48e34293be

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

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source=pdf_text observed=2026-08-06T22:37:22.674124Z digest=sha256:19f2e8aaf8e0decfbe0faffad8ffd754a97010428b37410453be4d212f1e7d7b

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

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:22.820987Z digest=sha256:8f46b72ffaa46cc34b737dbdcbf2757418a07b9b1c66e138dcf59ee26ca5f13b

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

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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:22.967103Z digest=sha256:d484877aad664b7024e55100d93c4de6e89ab9b6d7d82165e375b63ca3af7d76

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:23.033582Z digest=sha256:16c65340c54ad52443010a6b2c7349e8bc786db1c4574af673ad8843721f1f35

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

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source=pdf_text observed=2026-08-06T22:37:23.106315Z digest=sha256:9095c9e4c0edd034eb99e02063d4802a20196472d29d3f58aa5f24e49277dc3d

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

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source=pdf_text observed=2026-08-06T22:37:23.173948Z digest=sha256:d36e5937571d721819a86246cb3c19123bc8fef058c2bb81c296a2bff6a9973b

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:23.248500Z digest=sha256:6d126e1e62a13dfc2990dfbb6cda6f59b68b2f297c6c0ad93fd05c3a1f8f79cb

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

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raw_fallback, observed 2026-08-06T22:37:23.797423Z

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source=pdf_text observed=2026-08-06T22:37:23.364848Z digest=sha256:801156b9e7a32aa17280b2fda62b22fb6477244f3bfaa3a0bfa5c694135971a5

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

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:37:23.444077Z digest=sha256:b90f52369f906664fad4f2cc4609952c1692eb87a9e04f71cea88e1071483ee8

Pith citing papers

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