JournalsjncgVol. 1, No. 3pp. 281–309

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

  • Stéphane Launois

    University of Kent, Canterbury, Kent, UK
  • Thomas H. Lenagan

    University of Edinburgh
The first Hochschild cohomology group of quantum matrices and the quantum special linear group cover
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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.

Cite this article

Stéphane Launois, Thomas H. Lenagan, The first Hochschild cohomology group of quantum matrices and the quantum special linear group. J. Noncommut. Geom. 1 (2007), no. 3, pp. 281–309

DOI 10.4171/JNCG/8