Braid group actions for quantum symmetric pairs of type AIII/AIV

[摘要] In the present paper we construct braid group actions on quantum symmetric pair coideal subalgebras of type AIII/AIV. This completes the proof of a conjecture by Kolb and Pellegrini in the case where the underlying Lie algebra is sln. The braid group actions are defined on the generators of the coideal subalgebras and the defining relations and braid relations are verified by explicit calculations. Crown Copyright (C) 2020 Published by Elsevier Inc. All rights reserved.

[发布日期] 2020-12-15

[关键词] Quantum groups;Quantum symmetric pairs;Braid groups