Actions of Hopf Algebras in Categories of Yetter-Drinfeld Modules

DOI10.1081/AGB-120021889zbMath1032.16033MaRDI QIDQ4408728

Volker Ulm

Publication date: 29 June 2003

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

zbMATH Keywords

Hopf algebrasinvariantsYetter-Drinfeld modulesouter actionsinner actions

Mathematics Subject Classification ID

Smash products of general Hopf actions (16S40)

Related Items (2)

Quantum Cocommutative Coalgebras in $^{H}_{H}\mathcal{YD}$ and the Solutions of the Quasi-Yang-Baxter Equation ⋮ An Equivalence of Categories for Lie Color Algebras

Cites Work

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• Yetter-Drinfel'd categories associated to an arbitrary bialgebra
• Biinvertible actions of Hopf algebras
• The structure of Hopf algebras with a projection
• Smash products and outer derivations
• \(X\)-inner objects for Hopf crossed products
• Existence of a unique maximal subcoalgebra whose action is inner
• On Hopf algebras with cocommutative coradicals
• Generalized identities with automorphisms
• On inner actions of Hopf algebras and stabilizers of representations
• Hopf crossed products, rings of quotients, and prime ideals
• Invariants of domains under the actions of restricted Lie algebras
• Quantum groups and representations of monoidal categories
• Actions of pointed hopf algebras on prime algebras
• Frobenius extensions of subalgebras of Hopf algebras

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