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A Borel-Weil-Bott type theorem of quantum shuffle algebras

We prove in this paper a Borel-Weil-Bott type theorem for the coHochschild homology of a quantum shuffle algebra associated with quantum group datum taking coefficients in some well-chosen bicomodules, which can be looked as an analogue of equivariant line bundles over flag varieties in the non-commutative case.

preprint2012arXivOpen access
Xin Fang
math.QAmath.KTmath.RA
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Xin Fang

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