Restricted enveloping algebras with minimal Lie derived length

DOI10.1007/s10468-009-9165-2zbMath1241.17013OpenAlexW2047486202MaRDI QIDQ630065

Francesco Catino, Salvatore Siciliano, Ernesto Spinelli

Publication date: 17 March 2011

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-009-9165-2

zbMATH Keywords

enveloping algebrarestricted Lie algebraLie derived length

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Modular Lie (super)algebras (17B50) Universal enveloping algebras of Lie algebras (16S30)

Related Items (3)

Derived lengths of symmetric Poisson algebras ⋮ Lie solvable enveloping algebras of characteristic two ⋮ Solvable symmetric Poisson algebras and their derived lengths

Cites Work

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• Group algebras with minimal Lie derived length.
• The derived length of Lie soluble group rings. I
• The Lie structure of enveloping algebras
• Lie identities for Hopf algebras
• Lie metabelian restricted universal enveloping algebras.
• On Lie solvable restricted enveloping algebras.
• Lie Nilpotency Indices of Restricted Universal Enveloping Algebras

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