On yetter-drinfeld categories andH-commutativity

DOI10.1080/00927879908826497zbMath0936.16031OpenAlexW1994037394MaRDI QIDQ4236941

Davida Fischman, Miriam Cohen, Susan Montgomery

Publication date: 14 May 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826497

zbMATH Keywords

antipodessmash productscommutativitycleft extensionsYetter-Drinfeld module algebrasfaithfulnesstwisted Hopf algebrascategories of Yetter-Drinfeld modules

Mathematics Subject Classification ID

Related Items

GLOBAL DIMENSION FOR HOPF ACTIONS ⋮ BRAIDED MONOIDAL CATEGORIES ASSOCIATED TO YETTER-DRINFELD CATEGORIES ⋮ Aq-Identity Related to a Comodule ⋮ Constructing non-semisimple modular categories with local modules ⋮ On actions of Drinfel'd doubles on finite dimensional algebras ⋮ Braided commutative algebras over quantized enveloping algebras ⋮ QUASITRIANGULAR STRUCTURES FOR A CLASS OF POINTED HOPF ALGEBRAS CONSTRUCTED BY ORE EXTENSIONS ⋮ Hopf Algebras ⋮ The Miyashita–Ulbrich Action for Weak Hopf Algebras ⋮ Heisenberg Double ℋ(B*) as a Braided Commutative Yetter–Drinfeld Module Algebra Over the Drinfeld Double ⋮ Hom–Lie Algebras in Yetter–Drinfeld Categories

Cites Work

• The structure of Hopf algebras with a projection
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• Bialgebras over noncommutative rings and a structure theorem for Hopf bimodules
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• Semiinvariants for Hopf algebra actions
• Minimal quasitriangular Hopf algebras
• Quantum groups and representations of monoidal categories
• Galoiserweiterungen von night-kommutativen ringen
• Actions of pointed hopf algebras on prime algebras
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• Central invariants ofH-module algebras
• The Order of the Antipode of Finite-dimensional Hopf Algebra