Adjunctions of Hom and Tensor as Endofunctors of (Bi-)Module Categories Over Quasi-Hopf Algebras

DOI10.1080/00927872.2012.717322zbMath1304.16031OpenAlexW2081528972MaRDI QIDQ5409796

Saeid Bagheri

Publication date: 14 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.717322

zbMATH Keywords

monoidal categoriescomonadsmonadsmodule algebrasquasi-Hopf algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Hopf algebras and their applications (16T05)

Cites Work

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• Monads and comonads on module categories
• Doubles of quasi-quantum groups
• Integrals for (dual) quasi-Hopf algebras. Applications
• Two-sided two-cosided Hopf modules and Doi-Hopf modules for quasi-Hopf algebras.
• Actions of monoidal categories and generalized Hopf smash products.
• Algebras versus coalgebras
• Bimonads and Hopf monads on categories
• Hom-Tensor Relations for Two-Sided Hopf Modules Over Quasi-Hopf Algebras
• DIAGONAL CROSSED PRODUCTS BY DUALS OF QUASI-QUANTUM GROUPS
• Quasi-hopf algebra actions and smash products
• Coalgebraic structures in module theory

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