Lie gradings on associative algebras

DOI10.1016/J.JALGEBRA.2008.08.032zbMath1207.17037OpenAlexW2010994897WikidataQ115351342 ScholiaQ115351342MaRDI QIDQ2518363

Yu. A. Bakhturin, Matej Brešar

Publication date: 15 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.08.032

zbMATH Keywords

Lie mapsMatrix algebraLie gradingInvolutionsassociative gradingGroup grading

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Graded Lie (super)algebras (17B70)

Related Items (15)

Functional identities on tensor products of algebras. ⋮ GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS ⋮ Simple graded division algebras over the field of real numbers ⋮ Functional identities and their applications ⋮ On graded associative algebras. ⋮ Functional identities in superalgebras. ⋮ On the structure of graded commutative algebras ⋮ Orthogonal-gradings on \(H^*\)-algebras ⋮ Functional identities and rings of quotients ⋮ Jordan gradings on associative algebras. ⋮ Lie superautomorphisms on associative algebras ⋮ On the structure of graded Leibniz triple systems ⋮ Gradings induced by nilpotent elements ⋮ Quasi-identities on matrices and the Cayley-Hamilton polynomial. ⋮ Group gradings on the Lie and Jordan superalgebrasQ(n)

Cites Work

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• Biinvertible actions of Hopf algebras
• On Lie gradings. I
• Lie ideals and derivations of prime rings
• On Herstein's Lie map conjectures. III
• Gradings on simple Jordan and Lie algebras
• Involutions on graded matrix algebras.
• Lie ideals: from pure algebra to C*-algebras
• Group gradings on simple Lie algebras in positive characteristic
• FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE

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