COHOMOLOGICAL DIMENSIONS OF UNIVERSAL COSOVEREIGN HOPF ALGEBRAS

Julien Bichon (1, 2)

1 UCA [2017-2020] - Université Clermont Auvergne [2017-2020]
2 LMBP - Laboratoire de Mathématiques Blaise Pascal

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.

Domaines: Algèbres quantiques [math.QA]; K-théorie et homologie [math.KT]; Anneaux et algèbres [math.RA]

Julien Bichon. COHOMOLOGICAL DIMENSIONS OF UNIVERSAL COSOVEREIGN HOPF ALGEBRAS. Publicacions Matemàtiques, 2018, 62 (2), pp.301-330. ⟨hal-01393411⟩