The coinduced functor for infinite dimensional Hopf algebras

DOI10.1016/0022-4049(95)00060-7zbMath0857.16040OpenAlexW1970272872MaRDI QIDQ1919558

Bo Rong Zhou, Serban Raianu, Stefaan Caenepeel

Publication date: 12 March 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00060-7

zbMATH Keywords

comodule algebrascosemisimple Hopf algebrasright adjointscoinduction functorsmodules of coinvariantscoinvariant functors

Mathematics Subject Classification ID

Module categories in associative algebras (16D90)

Related Items (4)

THE FUNCTOR AND THE PROJECTIVITY AND INJECTIVITY OF RELATIVE HOPF MODULES ⋮ Comodule theories in Grothendieck categories and relative Hopf objects ⋮ Picard groups of rings of coinvariants. ⋮ On the Cohomology of Relative Hopf Modules

Cites Work

• Hopf extensions of algebras and Maschke type theorems
• Principal homogeneous spaces for arbitrary Hopf algebras
• Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras
• Some constructions over graded rings: Applications
• Smash products and comodules of linear maps
• Relative projectivity, graded Clifford theory, and applications
• Unifying Hopf modules
• Induction and coinduction for Hopf algebras: Applications
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