English

The first Hochschild cohomology group of quantum matrices and the quantum special linear group

Quantum Algebra 2007-05-23 v1 Rings and Algebras

Abstract

We calculate the first Hochschild cohomology group of quantum matrices, the quantum general linear group and the quantum special linear group in the generic case when the deformation parameter is not a root of unity. As a corollary, we obtain information about twisted Hochschild homology of these algebras.

Keywords

Cite

@article{arxiv.math/0608679,
  title  = {The first Hochschild cohomology group of quantum matrices and the quantum special linear group},
  author = {S Launois and T H Lenagan},
  journal= {arXiv preprint arXiv:math/0608679},
  year   = {2007}
}

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31 pages