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arxiv: 1409.0448 · v2 · pith:OQPGNYJUnew · submitted 2014-09-01 · 🧮 math.QA · math.RT

Quantum supergroups V. Braid group action

classification 🧮 math.QA math.RT
keywords actionbraidgroupconstructoperatorsquantumbasiscovering
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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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