The bar involution for quantum symmetric pairs – hidden in plain sight-Reference-Cited by-同舟云学术

The bar involution for quantum symmetric pairs – hidden in plain sight

Published:2022 Issue: Volume: Page:69-77
ISSN:0271-4132
Container-title:Hypergeometry, Integrability and Lie Theory
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Author:

Kolb Stefan

Abstract

We show that all quantum symmetric pair coideal subalgebras B c \mathcal {B}_{\mathbf {c}} of Kac-Moody type have a bar involution for a suitable choice of parameters c {\mathbf {c}} . The proof relies on a generalized notion of quasi K K -matrix. The proof does not involve an explicit presentation of B c \mathcal {B}_{\mathbf {c}} in terms of generators and relations.

Publisher

American Mathematical Society

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