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

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

2006-08-28

arxiv.org/abs/math/0608679v1

Mathematics

Quantum Algebra

31 pages

Scientific paper

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.

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