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

2006/08/28 by Launois, S, Lenagan, T H · 1 citation
#16E40 #16W35 #17B37 #17B40 #20G42 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.math/0608679

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.

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