Lie superalgebras whose enveloping algebras satisfy a non-matrix polynomial identity

DOI10.1007/S11856-012-0158-1zbMath1298.17018OpenAlexW2030949202MaRDI QIDQ375876

Jeffrey Bergen, Hamid Usefi, David M. Riley

Publication date: 1 November 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-012-0158-1

zbMATH Keywords

Lie superalgebrasenveloping algebrasLie solvableLie nilpotentLie super-nilpotentnon-matrix polynomial identity

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Identities other than those of matrices over commutative rings (16R40)

Related Items (7)

Identities in group rings, enveloping algebras and Poisson algebras ⋮ Lie structure of truncated symmetric Poisson algebras ⋮ Non-matrix polynomial identity enveloping algebras ⋮ Lie solvable enveloping algebras of characteristic two ⋮ Lie identities on enveloping algebras of restricted Lie superalgebras ⋮ Engel condition on enveloping algebras of Lie superalgebras ⋮ Lie structure of smash products

Cites Work

• Characterization of non-matrix varieties of associative algebras.
• Enveloping algebras satisfying a polynomial identity
• Nonmatrix varieties
• Identities in the enveloping algebras for modular Lie superalgebras
• The Lie structure of enveloping algebras
• Identities in the universal envelopes of Lie algelras
• Group algebras and enveloping algebras with nonmatrix and semigroup identities
• Lie Solvable Rings
• An improved bound for BFCp-groups
• On a problem of A. Kurosch
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