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

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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.
Original languageEnglish
Pages (from-to)281-309
Number of pages29
JournalJournal of Noncommutative Geometry
DOIs
Publication statusPublished - 2007

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