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arXiv · 1409.0448

Quantum supergroups V. Braid group action

Sean Clark·David Hill
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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.

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Sean Clark, David Hill. 2014-09-01. Quantum supergroups V. Braid group action. https://arxiv.org/abs/1409.0448

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