Hopf bimodules over hopf-galois extensions, miyashita-ulbrich actions, and monoidal center constructions

DOI10.1080/00927879608825559zbMath0863.16033OpenAlexW1967550735MaRDI QIDQ4868173

Peter Schauenburg

Publication date: 9 June 1997

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

Full work available at URL: https://doi.org/10.1080/00927879608825559

zbMATH Keywords

monoidal categoriesbialgebrasHopf modulesYetter-Drinfeld modulesbimodules of differential calculi of quantum spacesweak centralizers of subcategories

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Smash products of general Hopf actions (16S40)

Related Items

Morita equivalences induced by bimodules over Hopf-Galois extensions., HOPF MODULES, MIYASHITA-ULBRICH COACTIONS, AND MONOIDAL CENTER CONSTRUCTIONS, INVERTIBLE BIMODULES, MIYASHITA ACTION IN MONOIDAL CATEGORIES AND AZUMAYA MONOIDS, A bialgebra that admits a Hopf-Galois extension is a Hopf algebra, QUANTUM GROUPS, q-BOSON ALGEBRAS AND QUANTIZED WEYL ALGEBRAS, The monoidal center construction and bimodules, Hopf bigalois extensions, The Miyashita–Ulbrich Action for Weak Hopf Algebras, Braided yang-baxter operators

Cites Work

• Yetter-Drinfel'd categories associated to an arbitrary bialgebra
• Tortile Yang-Baxter operators in tensor categories
• Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras
• Representation theory of Hopf Galois extensions
• Hopf modules and Yetter-Drinfel'd modules
• On braiding and dyslexia
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Ribbon graphs and their invariants derived from quantum groups
• Braided compact closed categories with applications to low dimensional topology
• Quantum groups and representations of monoidal categories
• Galoiserweiterungen von night-kommutativen ringen
• Quantum de rham complexes