Quantum supergroups V. Braid group action
Quantum Algebra
2016-02-22 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.1409.0448,
title = {Quantum supergroups V. Braid group action},
author = {Sean Clark and David Hill},
journal= {arXiv preprint arXiv:1409.0448},
year = {2016}
}
Comments
v1. 31 pages v2. minor revisions, updated references, to appear in CMP