Weak bimonads and weak Hopf monads

DOI10.1016/j.jalgebra.2010.07.032zbMath1233.18003arXiv1002.4493OpenAlexW1969245692WikidataQ56687288 ScholiaQ56687288MaRDI QIDQ536159

Stephen Lack, Ross H. Street, Böhm, Gabriella

Publication date: 16 May 2011

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

Full work available at URL: https://arxiv.org/abs/1002.4493

zbMATH Keywords

monoidal categoriesmonadsweak monads

Mathematics Subject Classification ID

Bialgebras (16T10)

Related Items (12)

The fundamental theorem for weak braided bimonads ⋮ Weak Bialgebras and Monoidal Categories ⋮ BRAIDED MIXED DATUMS AND THEIR APPLICATIONS ON HOM-QUANTUM GROUPS ⋮ Cotwists of bicomonads and BiHom-bialgebras ⋮ On quasi-monoidal comonads and their corepresentations ⋮ Idempotent splittings, colimit completion, and weak aspects of the theory of monads ⋮ On generalized symmetries and structure of modular categories ⋮ Weak multiplier bimonoids ⋮ Weak bimonoids in duoidal categories ⋮ Smash coproducts of monoidal comonads and Hom-entwining structures ⋮ The quantum double of a factorizable weak Hopf algebra ⋮ Weak Hom-Hopf algebras and their (co)representations.

Cites Work

• Hopf monads on monoidal categories
• Weak Hopf algebras and weak Yang-Baxter operators.
• The weak theory of monads
• Note on Frobenius monoidal functors
• Weak Hopf monoids in braided monoidal categories.
• Fusion operators and cocycloids in monoidal categories
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• Hopf monads
• The formal theory of monads
• Bimonads and Hopf monads on categories
• Frobenius monads and pseudomonoids
• Hopf monoidal comonads
• Monads on tensor categories
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