On the Lie algebra of skew-symmetric elements of an enveloping algebra
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Publication:710559
DOI10.1016/j.jpaa.2010.02.033zbMath1201.17004OpenAlexW1996942443WikidataQ115345558 ScholiaQ115345558MaRDI QIDQ710559
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
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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