Quantum Yang-Baxter module algebras

DOI10.1007/BF00960863zbMath0829.16032OpenAlexW1994045920MaRDI QIDQ1337454

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

Publication date: 12 November 1995

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

Full work available at URL: https://doi.org/10.1007/bf00960863

zbMATH Keywords

Hopf algebrasBrauer groupsYetter-Drinfel'd modulesBrauer-Long groupsbijective antipode\(H\)-Azumaya algebrascategory of Yang-Baxter modules

Mathematics Subject Classification ID

Related Items (38)

Full Centre of anH-Module Algebra ⋮ Bialgebroids, \(\times_A\)-bialgebras and duality ⋮ Extending lazy 2-cocycles on Hopf algebras and lifting projective representations afforded by them. ⋮ BRAIDED MONOIDAL CATEGORIES ASSOCIATED TO YETTER-DRINFELD CATEGORIES ⋮ COMPUTING SUBGROUPS OF THE BRAUER GROUP OFH₄ ⋮ Quantum Yang-BaxterH-Module Algebras and Their Braided Products ⋮ Rota–Baxter paired comodules and Rota–Baxter paired Hopf modules ⋮ Structure theorems of \(H_4\)-Azumaya algebras. ⋮ The Brauer group of modified supergroup algebras. ⋮ Quasi-Hopf algebras and representations of octonions and other quasialgebras ⋮ Structure theorems of \(E(n)\)-Azumaya algebras. ⋮ \(\mathcal G_{\infty}\)-structure on the deformation complex of a morphism ⋮ Rota-Baxter paired modules and their constructions from Hopf 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. ⋮ Quasi-elementary \(H\)-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules. ⋮ Braided commutative algebras over quantized enveloping algebras ⋮ The Brauer group of Yetter-Drinfel’d module algebras ⋮ Connes' Pairings for a NewK-Theory over Weak Hopf Algebras ⋮ THE HOPF AUTOMORPHISM GROUP AND THE QUANTUM BRAUER GROUP IN BRAIDED MONOIDAL CATEGORIES ⋮ Four-dimensional Yetter-Drinfeld module algebras over \(H_4\). ⋮ Cocycle twisting of \(E(n)\)-module algebras and applications to the Brauer group. ⋮ Hopf Algebras ⋮ When is a cleft extension \(H\)-Azumaya? ⋮ Unnamed Item ⋮ Semisimplicity of Locally Finite Graded R#H-Modules ⋮ Yetter-Drinfeld Categories for Quasi-Hopf Algebras ⋮ The equivariant Brauer group of a group ⋮ The Brauer group of a braided monoidal category ⋮ Hopf bigalois extensions ⋮ Smash product algebras over twisted dimodule algebras. ⋮ Symmetric centres of braided monoidal categories ⋮ Cocycle Deformations and Brauer Groups ⋮ Endomorphism algebras over weak (α, β)-Yetter–Drinfeld modules ⋮ On yetter-drinfeld categories andH-commutativity ⋮ 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

• Unnamed Item
• Representation theory of Hopf Galois extensions
• Algebraic aspects of the quantum Yang-Baxter equation
• Computing the Brauer-Long group of a Hopf algebra. II: The Skolem-Noether theory
• From supersymmetry to quantum commutativity
• The Brauer group of dimodule algebras
• \(H\)-module endomorphism rings
• Induction functors and stable Clifford theory for Hopf modules
• Computing the Brauer-Long group of a Hopf algebra. I: The cohomological theory
• Minimal quasitriangular Hopf algebras
• QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
• Quantum groups and representations of monoidal categories
• Crossed Products and Inner Actions of Hopf Algebras
• Galoiserweiterungen von night-kommutativen ringen

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