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arXiv · 1208.5799

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

Xin Fang
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Abstract

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.

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Xin Fang. 2012-08-28. A Borel-Weil-Bott type theorem of quantum shuffle algebras. https://arxiv.org/abs/1208.5799

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