The Brauer group of Yetter-Drinfel’d module algebras

DOI10.1090/S0002-9947-97-01839-4zbMath0912.16015OpenAlexW1662996452WikidataQ116689380 ScholiaQ116689380MaRDI QIDQ4372565

Yinhuo Zhang, Stefaan Caenepeel, Freddy M. J. van Oystaeyen

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01839-4

zbMATH Keywords

Morita equivalencesHopf algebrasBrauer groupsAzumaya algebrasbraided monoidal categoriesYetter-Drinfeld module algebrasBrauer-Long groupsseparable algebrasquantum Yang-Baxter module algebras

Mathematics Subject Classification ID

Related Items (29)

BRAIDED MONOIDAL CATEGORIES ASSOCIATED TO YETTER-DRINFELD CATEGORIES ⋮ COMPUTING SUBGROUPS OF THE BRAUER GROUP OFH₄ ⋮ Structure theorems of \(H_4\)-Azumaya algebras. ⋮ The Brauer group of modified supergroup algebras. ⋮ Structure theorems of \(E(n)\)-Azumaya algebras. ⋮ Braided autoequivalences and the equivariant Brauer group of a quasitriangular Hopf algebra. ⋮ Categorical Lagrangian Grassmannians and Brauer-Picard groups of pointed fusion categories ⋮ 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. ⋮ Quasi-elementary \(H\)-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules. ⋮ 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 ⋮ Four-dimensional Yetter-Drinfeld module algebras over \(H_4\). ⋮ Turaev bicategories and generalized Yetter-Drinfel'd modules in 2-categories ⋮ Cocycle twisting of \(E(n)\)-module algebras and applications to the Brauer group. ⋮ Constructing new braided \(T\)-categories over weak Hopf algebras. ⋮ Unnamed Item ⋮ Generalized (anti) Yetter-Drinfeld modules as components of a braided \(T\)-category. ⋮ On the Brauer-Picard group of a finite symmetric tensor category ⋮ The equivariant Brauer group of a group ⋮ THE GROUP OF BI-GALOIS OBJECTS OVER THE COORDINATE ALGEBRA OF THE FROBENIUS–LUSZTIG KERNEL OF SL(2) ⋮ The Brauer group of a braided monoidal category ⋮ The \(kS_3\)-module algebra structures on \(M_3(k)\) ⋮ Cocycle Deformations and Brauer Groups ⋮ Endomorphism algebras over weak (α, β)-Yetter–Drinfeld modules ⋮ Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras. ⋮ A Brauer-Clifford-long group for the category of dyslectic \((S, H)\)-dimodule algebras ⋮ The Brauer group of some quasitriangular Hopf algebras. ⋮ The Brauer group of Sweedler’s Hopf algebra 𝐻₄

Cites Work

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