# Quantum symmetric pairs at roots of 1

@article{Bao2019QuantumSP,
title={Quantum symmetric pairs at roots of 1},
author={Huanchen Bao and Thomas M. Sale},
year={2019}
}
• Published 10 October 2019
• Mathematics
5 Citations

## Tables from this paper

This is a survey of some recent progress on quantum symmetric pairs and applications. The topics include quasi K-matrices, ıSchur duality, canonical bases, super Kazhdan-Lusztig theory, ıHall
• Mathematics
• 2022
Let Gk be a connected reductive algebraic group over an algebraically closed field k of characteristic 6= 2. Let Kk ⊂ Gk be a quasi-split symmetric subgroup of Gk with respect to an involution θk of
• Materials Science
• 2021
: Let ( U , U ı ) be a quantum symmetric pair of Kac–Moody type. The ı quantum groups U ı and the universal ı quantum groups (cid:2) U ı can be viewed as a generalization of quantum groups and
• Mathematics
• 2020
Let $(\bf U, \bf U^\imath)$ be a quantum symmetric pair of Kac-Moody type. The $\imath$quantum groups $\bf U^\imath$ and the universal $\imath$quantum groups $\widetilde{\bf U}^\imath$ can be viewed
Let $(\mathbf{U}, \mathbf{U}^\imath)$ be a quasi-split quantum symmetric pair of Kac-Moody type. The $\imath$quantum group $\mathbf{U}^\imath$ admits a Serre presentation featuring the $\imath$-Serre

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For quantum symmetric pairs $(\textbf {U}, \textbf {U}^\imath )$ of Kac–Moody type, we construct $\imath$-canonical bases for the highest weight integrable $\textbf U$-modules and their tensor
We extend to the not necessarily simply laced case the study [8] of quantum groups whose parameter is a root of 1.