A generalized Frobenius structure for coalgebras with applications to character theory

DOI10.1016/0021-8693(80)90193-3zbMath0492.16015OpenAlexW2001031973MaRDI QIDQ1167794

Harry P. Allen, D. S. Trushin

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90193-3

zbMATH Keywords

Hopf algebrasorthogonality relationsrational characterscosemisimple coalgebrasabsolutely irreducible comodulescharacter theory for coalgebrasduals of finite-dimensional Frobenius algebrasFrobenius coalgebrasmaximal rational left right ideals

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Quasi-Frobenius rings (16L60)

Related Items

Hopf algebra coactions ⋮ Galois extensions for co-Frobenius Hopf algebras ⋮ Smash Products and π-H-Comodules of Linear Maps for HOPF π-Comodules

Cites Work

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• Invariant radical splittings: a Hopf approach
• Reflexivity and coalgebras of finite type
• Finiteness conditions for a Hopf algebra with a nonzero integral
• Coproper coalgebras
• Characters of Hopf algebras
• The uniqueness of integrals for Hopf algebras and some existence theorems of integrals for commutative Hopf algebra
• On Trace Bilinear Forms on Lie-Algebras
• An Associative Orthogonal Bilinear Form for Hopf Algebras

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