Braid group symmetries on quasi-split $\imath$quantum groups via $\imath$Hall algebras

Ming Lu; Weiqiang Wang

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Braid group symmetries on quasi-split imathquantum groups via imathHall algebras

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arxiv 2107.06023 v2 pith:VW2YFOCJ submitted 2021-07-13 math.QA math.RT

Braid group symmetries on quasi-split imathquantum groups via imathHall algebras

Ming Lu , Weiqiang Wang This is my paper

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We establish automorphisms with closed formulas on quasi-split $\imath$quantum groups of symmetric Kac-Moody type associated to restricted Weyl groups. The proofs are carried out in the framework of $\imath$Hall algebras and reflection functors, thanks to the $\imath$Hall algebra realization of $\imath$quantum groups in our previous work. Several quantum binomial identities arising along the way are established.

Braid group symmetries on quasi-split imathquantum groups via imathHall algebras

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