A Borel-Weil-Bott type theorem of quantum shuffle algebras
Quantum Algebra
2012-08-30 v1 K-Theory and Homology
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1208.5799,
title = {A Borel-Weil-Bott type theorem of quantum shuffle algebras},
author = {Xin Fang},
journal= {arXiv preprint arXiv:1208.5799},
year = {2012}
}
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31 pages