Orthosymplectic Quantum Groups Revisited

We present the RLL-realization of extended orthosymplectic quantum supergroups for any parity sequence, with $R$-matrices evaluated in the earlier work [Lett. Math. Phys. 116 (2026), 55, 97 pages, arXiv:2408.16720]. Our isomorphism is compatible with the internal structure of generalized doubles. We also relate different sign conventions through 2-cocycle twists.

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Publication Details

Journal
Symmetry Integrability and Geometry Methods and Applications
Published
2026-10-30
DOI
https://doi.org/10.3842/sigma.2026.105
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

Orthosymplectic Quantum Groups Revisited

Alexander Tsymbaliuk, Kyungtak Hong
1 links
Symmetry Integrability and Geometry Methods and Applications
Algebraic structures and combinatorial models
article

Orthosymplectic Quantum Groups Revisited

Alexander Tsymbaliuk, Kyungtak Hong
article en

Abstract

We present the RLL-realization of extended orthosymplectic quantum supergroups for any parity sequence, with $R$-matrices evaluated in the earlier work [Lett. Math. Phys. 116 (2026), 55, 97 pages, arXiv:2408.16720]. Our isomorphism is compatible with the internal structure of generalized doubles. We also relate different sign conventions through 2-cocycle twists.

Symmetry Integrability and Geometry Methods and Applications
Purdue University West Lafayette (US)
National Science Foundation
Openalex Percentile: Top 58%
Algebraic structures and combinatorial models
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