Hopf bimodules are modules

DOI10.1016/S0022-4049(97)00060-1zbMath0934.16035OpenAlexW1987517168MaRDI QIDQ1295532

Marc Rosso, Claude Cibils

Publication date: 30 January 2000

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(97)00060-1

zbMATH Keywords

Morita equivalencesfinite dimensional Hopf algebrasDrinfel'd doublescategories of left modulesHopf bimodulesHeisenberg doubles

Mathematics Subject Classification ID

Related Items (10)

HOPF BIMODULES ARE MODULES OVER A DIAGONAL CROSSED PRODUCT ALGEBRA ⋮ Cibils–Rosso's Theorem for Quantum Groupoids ⋮ Injective Hopf bimodules, cohomologies of infinite dimensional Hopf algebras and graded-commutativity of the Yoneda product. ⋮ Unnamed Item ⋮ G-structure on the cohomology of Hopf algebras ⋮ Some bialgebroids constructed by Kadison and Connes-Moscovici are isomorphic. ⋮ Two-sided two-cosided Hopf modules and Doi-Hopf modules for quasi-Hopf algebras. ⋮ Actions of monoidal categories and generalized Hopf smash products. ⋮ DOI-KOPPINEN HOPF BIMODULES ARE MODULES ⋮ Module categories of finite Hopf algebroids, and self-duality

Cites Work

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• Quantum path algebras
• Biinvertible actions of Hopf algebras
• On the Drinfeld double and the Heisenberg double of a Hopf algebra
• Hopf modules and Yetter-Drinfel'd modules
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Modules with decompositions that complement direct summands
• Bialgebras of type one^*
• Hochschild Homology in a Braided Tensor Category

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