Invariants of the adjoint coaction and Yetter-Drinfeld categories

DOI10.1016/S0022-4049(00)00063-3zbMath0982.16030OpenAlexW2086344399WikidataQ127173754 ScholiaQ127173754MaRDI QIDQ5939819

Shenglin Zhu, Miriam Cohen

Publication date: 13 January 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00063-3

zbMATH Keywords

group-like elementsHopf algebrasantipodesintegralsYetter-Drinfeld modulesadjoint coactionsalgebras of coinvariantscharacter algebrascocommutative elements

Mathematics Subject Classification ID

Related Items

Integrals, quantum Galois extensions, and the affineness criterion for quantum Yetter-Drinfel'd modules ⋮ Weakly multiplicative coactions of quantized function algebras. ⋮ Some interrelations between Hopf algebras and their duals. ⋮ Hopf Algebras

Cites Work

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• Yetter-Drinfel'd categories associated to an arbitrary bialgebra
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• Characters of Hopf algebras
• Certain arithmetic properties of ring groups
• Quantum groups and representations of monoidal categories
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• Hopf algebras of types 𝑈_{𝑞}(𝑠𝑙_{𝑛})’ and 𝑂_{𝑞}(𝑆𝐿_{𝑛})’ which give rise to certain invariants of knots, links and 3-manifolds