The dual Friedrichs' theorem

DOI10.1016/0021-8693(90)90140-JzbMath0702.17015MaRDI QIDQ914818

Gary Griffing

Publication date: 1990

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

zbMATH Keywords

free Lie algebrafree associative algebracofree coassociative coalgebracofree covered Lie algebracofree Lie coalgebragraded dual Lie coalgebra

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Identities, free Lie (super)algebras (17B01) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Lie algebras and Lie superalgebras (17B99)

Related Items (1)

Dual Lie Elements and a Derivation for the Cofree Coassociative Coalgebra

Cites Work

• Generalized dual coalgebras of algebras, with applications to cofree coalgebras
• Lie elements and an algebra associated with shuffles
• The dual Poincaré-Birkhoff-Witt theorem
• Determination of the irreducible divided power Hopf algebras
• Commutative Hopf algebras, Lie coalgebras, and divided powers
• A nonisomorphism theorem for cofree Lie coalgebras
• Lie coalgebras
• Hopf algebras with divided powers
• An example of a non-zero Lie coalgebra M for which \(Loc(M)=0\)
• The cofree nonassociative coalgebra

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