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Electrical quantum groups
Abstract
We give a construction of electrical quantum group and its superpartner as coideal subalgebras in Uq(gl(N)) and, respectively, in Uuq(gl(1|N−1)), where the latter is an "ungraded" (non-standard) quantum general linear supergroup. We derive them as quantum isotropy subgroups of triangular twisted K-matrices found in one of our recent papers.
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BibTeX
@misc{algethami2026electrical,
title = {{Electrical quantum groups}},
author = {D. Algethami and A. Mudrov and V. Stukopin},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.02100},
eprint = {2611.02100},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.02100},
}
RIS
TY - UNPB
TI - Electrical quantum groups
AU - D. Algethami
AU - A. Mudrov
AU - V. Stukopin
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.02100
UR - https://arxiv.org/abs/2611.02100
AB - We give a construction of electrical quantum group and its superpartner as coideal subalgebras in U_q(gl(N)) and, respectively, in U^u_q(gl(1|N−1)), where the latter is an "ungraded" (non-standard) quantum general linear supergroup. We derive them as quantum isotropy subgroups of triangular twisted K-matrices found in one of our recent papers.
ER -