Determination of the irreducible divided power Hopf algebras

DOI10.1016/0021-8693(85)90051-1zbMath0583.16008OpenAlexW2071290773MaRDI QIDQ1070018

Richard E. Block

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90051-1

zbMATH Keywords

equivalence of categoriesLie coalgebrascoenveloping coalgebrasirreducible divided power bialgebralocally nilpotent Lie coalgebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Universal enveloping (super)algebras (17B35)

Related Items

Unnamed Item, A nonisomorphism theorem for cofree Lie coalgebras, The dual Friedrichs' theorem, The cofree nonassociative coalgebra, Dual Lie Elements and a Derivation for the Cofree Coassociative Coalgebra, A Leray theorem for the generalization to operads of Hopf algebras with divided powers

Cites Work

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• Commutative Hopf algebras, Lie coalgebras, and divided powers
• Hopf algebras and derivations
• Pointed irreducible bialgebras
• A natural ring basis for the shuffle algebra and an application to group schemes
• On the structure of Hopf algebras
• Hopf algebras with divided powers