Polynomial identities and noncommutative versal torsors.

DOI10.1016/j.aim.2008.03.014zbMath1152.16026arXiv0708.4108OpenAlexW2137472029MaRDI QIDQ932167

Eli Aljadeff, Christian Kassel

Publication date: 10 July 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.4108

zbMATH Keywords

cocyclespolynomial identitiesHopf Galois extensionsHopf comodule algebras

Mathematics Subject Classification ID

Related Items (13)

Generic base algebras and universal comodule algebras for some finite-dimensional Hopf algebras ⋮ The center of the generic \(G\)-crossed product ⋮ Examples of polynomial identities distinguishing the Galois objects over finite-dimensional Hopf algebras. ⋮ Descent, fields of invariants, and generic forms via symmetric monoidal categories ⋮ Twisting algebras using non-commutative torsors: explicit computations. ⋮ Representability and Specht problem for \(G\)-graded algebras. ⋮ Simple 𝐺-graded algebras and their polynomial identities ⋮ Graded identities of matrix algebras and the universal graded algebra ⋮ The lazy homology of a Hopf algebra. ⋮ Group algebras and normal basis problem ⋮ The Noether problem for Hopf algebras ⋮ Graded polynomial identities and exponential growth ⋮ Hopf cocycle deformations and invariant theory

Cites Work

• Biinvertible actions of Hopf algebras
• Principal homogeneous spaces for arbitrary Hopf algebras
• Homotopy theory of Hopf Galois extensions.
• A duality theorem for Hopf module algebras
• Identities of algebras with actions of Hopf algebras
• Identities of graded algebras
• Erratum: Quantum group gauge theory on quantum spaces
• Hopf fibration and monopole connection over the contact quantum spheres
• On twisting of finite-dimensional Hopf algebras.
• Projective module description of the \(q\)-monopole
• Strong connections on quantum principal bundles
• A Hopf bundle over a quantum four-sphere from the symplectic group
• Free Hopf algebras generated by coalgebras
• Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras.
• Graded identities of matrix algebras and the universal graded algebra
• Crossed Products and Inner Actions of Hopf Algebras
• Equivalent crossed products for a hopf algebra
• Cleft extensions for a hopf algebra generated by a nearly primitive element
• Quaternion algebras and hopf crossed products
• On Maximally Central Algebras
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• Unnamed Item
• Unnamed Item
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• Unnamed Item
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