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arXiv · 2410.10064

Coideal subalgebras of quantum $SL_2$ at roots of unity

Kenichi Shimizu·Rei Sugitani
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Abstract

We classify right coideal subalgebras of the finite-dimensional quotient of the quantized enveloping algebra $U_q(\mathfrak{sl}_2)$ and that of the quantized coordinate algebra $\mathcal{O}_q(SL_2)$ at a root of unity $q$ of odd order. All those coideal subalgebras are described by generators and relations.

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Kenichi Shimizu, Rei Sugitani. 2024-10-14. Coideal subalgebras of quantum $SL_2$ at roots of unity. https://doi.org/10.1016/j.jpaa.2025.107923

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