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Quantum symmetric pairs

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arxiv 2112.10911 v2 pith:EYKKVSDO submitted 2021-12-20 math.RT math.QA

classification math.RTmath.QA
keywords imathquantumpairssymmetricactionsaffinealgebrasapplications
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abstract

This is a survey of some recent progress on quantum symmetric pairs and applications. The topics include quasi K-matrices, $\imath$Schur duality, canonical bases, super Kazhdan-Lusztig theory, $\imath$Hall algebras, current presentations for affine $\imath$quantum groups, and braid group actions.

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Cited by 1 Pith paper

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  1. A Kohno--Drinfeld Theorem for iquantum Weyl groups

    math.QA 2026-08 conditional novelty 6.0 of 10

    For the split symmetric pair so_m ⊂ sl_m, the monodromy of the boundary Casimir connection is isomorphic to the iota-quantum Weyl group representation.

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