SOME ISOMORPHISMS FOR THE BRAUER GROUPS OF A HOPF ALGEBRA

DOI10.1081/AGB-100106820zbMath0999.16026arXivmath/0005177OpenAlexW2095375836MaRDI QIDQ2764504

Giovanna Carnovale

Publication date: 20 May 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005177

zbMATH Keywords

Brauer groupsBrauer-Wall groupsbraided categoriesSweedler Hopf algebrasdual quasitriangular Hopf algebrasuniversal \(R\)-forms

Mathematics Subject Classification ID

Related Items (13)

Extending lazy 2-cocycles on Hopf algebras and lifting projective representations afforded by them. ⋮ Pseudosymmetric braidings, twines and twisted algebras. ⋮ Structure theorems of \(H_4\)-Azumaya algebras. ⋮ The Brauer group of modified supergroup algebras. ⋮ Structure theorems of \(E(n)\)-Azumaya algebras. ⋮ On the subgroup structure of the full Brauer group of Sweedler Hopf algebra. ⋮ An exact sequence for the Brauer group of a finite quantum group. ⋮ Cocycle twisting of \(E(n)\)-module algebras and applications to the Brauer group. ⋮ When is a cleft extension \(H\)-Azumaya? ⋮ Cocycle Deformations and Brauer Groups ⋮ Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras. ⋮ Crossed products of Hom-Hopf algebras ⋮ The Brauer group of some quasitriangular Hopf algebras.

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