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Cohomological dimensions of universal cosovereign Hopf algebras

Published 7 Nov 2016 in math.QA, math.KT, and math.RA | (1611.02069v1)

Abstract: We compute the Hochschild and Gerstenhaber-Schack cohomological dimensions of the universal cosovereign Hopf algebras, when the matrix of parameters is a generic asymmetry. Our main tools are considerations on the cohomologies of free product of Hopf algebras, and on the invariance of the cohomological dimensions under graded twisting by a finite abelian group.

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