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Quantum Supergroups V. Braid Group Action

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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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Authors and Affiliations

  1. Max Plank Institute for Mathematics, 53119, Bonn, Germany

    Sean Clark

  2. Department of Mathematics and Statistics, Washington State University-Vancouver, Vancouver, WA, 98686, USA

    David Hill

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  1. Sean Clark
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  2. David Hill
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Correspondence to Sean Clark.

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Communicated by Y. Kawahigashi

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Clark, S., Hill, D. Quantum Supergroups V. Braid Group Action. Commun. Math. Phys. 344, 25–65 (2016). https://doi.org/10.1007/s00220-016-2630-y

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  • DOI: https://doi.org/10.1007/s00220-016-2630-y

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