Divided power structures on Hopf algebras and embedding Lie algebras into special-derivation algebras

DOI10.1016/0021-8693(86)90019-0zbMath0583.16007OpenAlexW2063193715WikidataQ115366859 ScholiaQ115366859MaRDI QIDQ1070016

David E. Radford

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90019-0

zbMATH Keywords

embeddingcompletioncocommutative Hopf algebracontinuous derivationsdivided power coalgebrafinite-dimensional Lie algebra over a perfect fieldLie algebra of special coderivationsLie algebra of special derivations

Mathematics Subject Classification ID

Related Items (16)

Symmetric pairs and Gorelik elements ⋮ Fractal nil graded Lie superalgebras ⋮ Clover nil restricted Lie algebras of quasi-linear growth ⋮ Fractal just infinite nil Lie superalgebra of finite width ⋮ On the derived length of solvable Lie algebras ⋮ On lie algebras of contact type ⋮ Cohomologies and deformations of coassociative coderivations ⋮ On Kähler differentials of divided power algebras ⋮ Universal representations of Lie algebras by coderivations. ⋮ Nil restricted Lie algebras of oscillating intermediate growth ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮ Superization of homogeneous spin manifolds and geometry of homogeneous supermanifolds ⋮ Modular lie algebras of cartan type over algebraically non-closed fields.1 ⋮ GROWTH OF SUBALGEBRAS FOR RESTRICTED LIE ALGEBRAS AND TRANSITIVE ACTIONS ⋮ Nil Liep-algebras of slow growth ⋮ Wreath products and Kaluzhnin-Krasner embedding for Lie algebras

Cites Work

• Unnamed Item
• Deformation of transitive Lie algebras
• Induced and Produced Representations of Lie Algebras
• On filtered lie algebras and divided power algebras
• On the Existence of Ad-Nilpotent Elements

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