A bicategorical approach to actions of monoidal categories

DOI10.1142/S0219498823500731OpenAlexW4226344323MaRDI QIDQ5880508

Bojana Femić

Publication date: 3 March 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.10304

zbMATH Keywords

monoidal categoriesYetter-Drinfel'd modulesbicategoriesquasi-bialgebras2-(co)monadsaction of categories

Mathematics Subject Classification ID

Bialgebras (16T10) Yang-Baxter equations (16T25)

Cites Work

• Monoidal ring and coring structures obtained from wreaths and cowreaths.
• Groups of algebras over \(A\otimes \bar A\)
• Cross product bialgebras. I
• Actions of monoidal categories and generalized Hopf smash products.
• Combining a monad and a comonad
• Biwreaths: a self-contained system in a 2-category that encodes different known algebraic constructions and gives rise to new ones
• The formal theory of monads. II
• The formal theory of monads
• \(\vartheta\)-localizations and \(\vartheta\)-monads
• Bimonads and Hopf monads on categories
• Crossed products and cleft extensions for coquasi-Hopf algebras
• The Predual Theorem to the Jacobson-Bourbaki Theorem
• DIAGONAL CROSSED PRODUCTS BY DUALS OF QUASI-QUANTUM GROUPS
• Introduction to bicategories
• Tensor Categories
• Monads on tensor categories
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