Cocycle twisting of \(E(n)\)-module algebras and applications to the Brauer group.

DOI10.1007/s10977-004-5115-2zbMath1073.16028arXivmath/0403444OpenAlexW2963034073MaRDI QIDQ1780004

Giovanna Carnovale, Juan Cuadra

Publication date: 6 June 2005

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403444

zbMATH Keywords

Brauer groupsBrauer-Wall groupscocycle twistsquasi-triangular Hopf algebrastriangular structurescoquasi-triangular Hopf algebrascoquasi-triangular structuressplit short exact sequences

Mathematics Subject Classification ID

Related Items (16)

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. ⋮ On some classes of lazy cocycles and categorical structures. ⋮ Structure theorems of \(E(n)\)-Azumaya algebras. ⋮ Villamayor-Zelinsky sequence for symmetric finite tensor categories ⋮ On the subgroup structure of the full Brauer group of Sweedler Hopf algebra. ⋮ A sequence to compute the Brauer group of certain quasi-triangular Hopf algebras. ⋮ THE HOPF AUTOMORPHISM GROUP AND THE QUANTUM BRAUER GROUP IN BRAIDED MONOIDAL CATEGORIES ⋮ The lazy homology of a Hopf algebra. ⋮ When is a cleft extension \(H\)-Azumaya? ⋮ On the Brauer-Picard group of a finite symmetric tensor category ⋮ Pointed braided tensor categories ⋮ Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras. ⋮ On finite non-degenerate braided tensor categories with a Lagrangian subcategory

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