Cohomological dimensions of universal cosovereign Hopf algebras

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.

18 pages

References in corpus (1)

• Calabi-Yau property under monoidal Morita-Takeuchi equivalence

Cited by in corpus (1)

• Second cohomology groups of the Hopf${}^{\ast }$-algebras associated to universal unitary quantum groups