The Brauer group of modified supergroup algebras.

DOI10.1016/j.jalgebra.2006.06.002zbMath1135.16043arXivmath/0507125OpenAlexW2039104120MaRDI QIDQ855964

Giovanna Carnovale

Publication date: 7 December 2006

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

Full work available at URL: https://arxiv.org/abs/math/0507125

zbMATH Keywords

Brauer groupsbraided monoidal categoriestriangular Hopf algebraslazy cohomologymodified supergroup algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Brauer groups (algebraic aspects) (16K50)

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Pseudosymmetric braidings, twines and twisted algebras. ⋮ On some classes of lazy cocycles and categorical structures. ⋮ Villamayor-Zelinsky sequence for symmetric finite tensor categories ⋮ On the Brauer-Picard groups of fusion categories ⋮ Classification of topological phases with finite internal symmetries in all dimensions ⋮ A sequence to compute the Brauer group of certain quasi-triangular Hopf algebras. ⋮ On the Brauer-Picard group of a finite symmetric tensor category ⋮ Braided Picard groups and graded extensions of braided tensor categories ⋮ One dimensional gapped quantum phases and enriched fusion categories ⋮ Computing the group of minimal non-degenerate extensions of a super-Tannakian category

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