Braid group symmetries on quasi-split $\imath$quantum groups via $\imath$Hall algebras
Quantum Algebra
2022-11-23 v2 Representation Theory
Abstract
We establish automorphisms with closed formulas on quasi-split quantum groups of symmetric Kac-Moody type associated to restricted Weyl groups. The proofs are carried out in the framework of Hall algebras and reflection functors, thanks to the Hall algebra realization of quantum groups in our previous work. Several quantum binomial identities arising along the way are established.
Keywords
Cite
@article{arxiv.2107.06023,
title = {Braid group symmetries on quasi-split $\imath$quantum groups via $\imath$Hall algebras},
author = {Ming Lu and Weiqiang Wang},
journal= {arXiv preprint arXiv:2107.06023},
year = {2022}
}
Comments
53 pages, minor edits, to appear in Selecta Math