On the Lie algebra of skew-symmetric elements of an enveloping algebra

DOI10.1016/j.jpaa.2010.02.033zbMath1201.17004OpenAlexW1996942443WikidataQ115345558 ScholiaQ115345558MaRDI QIDQ710559

Salvatore Siciliano

Publication date: 19 October 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.02.033

zbMATH Keywords

rings with involutionsrestricted enveloping algebrasolvable and nilpotent Lie algebras

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50)

Related Items (5)

Identities in group rings, enveloping algebras and Poisson algebras ⋮ Restricted enveloping algebras whose skew and symmetric elements are Lie metabelian ⋮ Lie structure of truncated symmetric Poisson algebras ⋮ Lie identities on symmetric elements of restricted enveloping algebras ⋮ LIE METABELIAN SKEW ELEMENTS IN GROUP RINGS

Cites Work

• Enveloping algebras satisfying a polynomial identity
• The nilpotency of the radical in a finitely generated P.I. ring
• Lie properties of symmetric elements in group rings. II.
• Lie properties of symmetric elements in group rings.
• The Lie structure of enveloping algebras
• Unitary units and skew elements in group algebras.
• Identities in rings with involutions
• Lie nilpotence of group rings
• COMMUTATIVITY OF SKEW SYMMETRIC ELEMENTS IN GROUP RINGS
• ANTISYMMETRIC ELEMENTS IN GROUP RINGS II
• Antisymmetric elements in group rings with an orientation morphism
• Group rings whose symmetric elements are Lie nilpotent
• Polynomial Identities in Graded Group Rings, Restricted Lie Algebras and p-Adic Analytic Groups
• The lien-engel property in group rings
• Group algebras whose symmetric and skew elements are Lie solvable
• ANTISYMMETRIC ELEMENTS IN GROUP RINGS
• Simple Lie algebras over fields of positive characteristic. I: Structure theory
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