On quasi-monoidal comonads and their corepresentations

DOI10.3934/era.2022160OpenAlexW4285278542MaRDI QIDQ2697193

Dingguo Wang, Xiaohui Zhang

Publication date: 18 April 2023

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2022160

zbMATH Keywords

monoidal categoriesgauge transformationscoquasitriangular structuresquasi-monoidal comonads

Mathematics Subject Classification ID

General algebraic systems (08-XX) Category theory; homological algebra (18-XX)

Cites Work

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• Hopf monads on monoidal categories
• Weak bimonads and weak Hopf monads
• Monads and comonads on module categories
• Smash coproducts of monoidal comonads and Hom-entwining structures
• Quasi-bimonads and their representations
• Cotwists of bicomonads and BiHom-bialgebras
• Galois functors and generalised Hopf modules
• Generalised bialgebras and entwined monads and comonads
• Hopf monads
• The fundamental theorem for weak braided bimonads
• The formal theory of monads
• Quantum double of Hopf monads and categorical centers
• Bimonads and Hopf monads on categories
• Constructing Quasitriangular Multiplier Hopf Algebras By Twisted Tensor Coproducts
• The crossed structure of Hopf bimodules
• BRAIDED MIXED DATUMS AND THEIR APPLICATIONS ON HOM-QUANTUM GROUPS
• Gauge transformations for quasitriangular quasi-Turaev group coalgebras
• Cohomology and Coquasi-bialgebras in the category of Yetter-Drinfeld modules
• Hopf monoidal comonads
• Monads on tensor categories

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