Orthosymplectic quantum groups revisited
Representation Theory
2026-04-24 v1 High Energy Physics - Theory
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We present the RLL-realization of extended orthosymplectic quantum supergroups for any parity sequence, with R-matrices evaluated in the earlier work arxiv:2408.16720. Our isomorphism is compatible with the internal structure of generalized doubles. We also relate different sign conventions through 2-cocycle twists. Furthermore, we establish a factorization of the reduced R-matrix within the RLL-realization.
Keywords
Cite
@article{arxiv.2604.21785,
title = {Orthosymplectic quantum groups revisited},
author = {Kyungtak Hong and Alexander Tsymbaliuk},
journal= {arXiv preprint arXiv:2604.21785},
year = {2026}
}
Comments
v1: 52pp, comments are welcome!