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arXiv · 2104.06120

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

Stefan Kolb
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Abstract

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

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Stefan Kolb. 2021-04-13. The bar involution for quantum symmetric pairs -- hidden in plain sight. https://arxiv.org/abs/2104.06120

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