Quantum supergroups V. Braid group action
arXiv:1409.0448
Abstract
We construct a braid group action on quantum covering groups. We further use this action to construct a PBW basis for the positive half in finite type which is pairwise-orthogonal under the inner product. This braid group action is induced by operators on the integrable modules; however, these operators satisfy spin braid relations.
v1. 31 pages v2. minor revisions, updated references, to appear in CMP