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Cohomological dimensions of universal cosovereign Hopf algebras

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.

preprint2016arXivOpen access
Julien Bichon
math.QAmath.KTmath.RA
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Julien Bichon

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