Coideal subalgebras of quantum $SL_2$ at roots of unity
Quantum Algebra
2025-03-11 v2 Rings and Algebras
Abstract
We classify right coideal subalgebras of the finite-dimensional quotient of the quantized enveloping algebra and that of the quantized coordinate algebra at a root of unity of odd order. All those coideal subalgebras are described by generators and relations.
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Cite
@article{arxiv.2410.10064,
title = {Coideal subalgebras of quantum $SL_2$ at roots of unity},
author = {Kenichi Shimizu and Rei Sugitani},
journal= {arXiv preprint arXiv:2410.10064},
year = {2025}
}
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32 pages