Generalized Frobenius Algebras and Hopf Algebras

DOI10.4153/CJM-2012-060-7zbMath1296.16037arXiv0803.0775OpenAlexW2333297313MaRDI QIDQ5402170

Miodrag Cristian Iovanov

Publication date: 6 March 2014

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.0775

zbMATH Keywords

Hopf algebrascoalgebrasintegralsFrobenius algebrastopological algebrasquasi-coFrobenius algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Compact groups (22C05) Chain complexes (category-theoretic aspects), dg categories (18G35) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (9)

The antipode of a dual quasi-Hopf algebra with nonzero integrals is bijective. ⋮ Path subcoalgebras, finiteness properties and quantum groups. ⋮ Frobenius-Artin algebras and infinite linear codes ⋮ Nakayama functors for coalgebras and their applications to Frobenius tensor categories ⋮ On the bijectivity of the antipode and serial quantum groups ⋮ On extensions of rational modules. ⋮ Infinite dimensional serial algebras and their representations ⋮ Jacobi and Poisson algebras ⋮ On a class of quasi-Frobenius algebras

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