Peer-reviewedCC BY-SA 4.0Symmetry, Integrability and Geometry: Methods and Applications
Orthosymplectic Quantum Groups Revisited
- 1Purdue University, USA
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.
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BibTeX
@article{hong2026orthosymplectic,
title = {{Orthosymplectic Quantum Groups Revisited}},
author = {Kyungtak Hong and Alexander Tsymbaliuk},
journal = {Symmetry, Integrability and Geometry: Methods and Applications},
year = {2026},
month = oct,
doi = {10.3842/sigma.2026.105},
url = {https://sigma-journal.com/2026/105/},
note = {CC BY-SA 4.0},
}
RIS
TY - JOUR
TI - Orthosymplectic Quantum Groups Revisited
AU - Kyungtak Hong
AU - Alexander Tsymbaliuk
PY - 2026
DA - 2026/10/30
JO - Symmetry, Integrability and Geometry: Methods and Applications
DO - 10.3842/sigma.2026.105
UR - https://sigma-journal.com/2026/105/
AB - 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.
SN - 1815-0659
ER -