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nLab > Latest Changes: Borel-Weil theorem

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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 21st 2014

    The entry Borel-Weil theorem mentions extensions of the theorem to quantum groups, without however giving a reference. I just got an email asking for these.

    The statement dates from August 19, 2009, due to Zoran.

    • CommentRowNumber2.
    • CommentAuthornoud
    • CommentTimeJul 23rd 2014
    I'm the person in question asking for these. I have found two articles with extensions to quantum groups:

    1. Biedenharn, Loche - An extension of the Borel-Weil construction to the quantum group Uq(n) - http://link.springer.com/article/10.1007%2FBF02097014
    2. Fang - A Borel-Weil-Bott type theorem of quantum shuffle algebras - http://arxiv.org/abs/1208.5799

    I'm actually looking for a Borel-Weil theorem for a general (compact) quantized universal enveloping algebra Uq(g).

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