GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS

DOI10.1142/S0218196712500464zbMath1257.17038arXiv1106.2638OpenAlexW2055307439WikidataQ115245905 ScholiaQ115245905MaRDI QIDQ2909492

Matej Brešar, Mikhail Kochetov, Yu. A. Bakhturin

Publication date: 30 August 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.2638

zbMATH Keywords

simple Lie algebragraded algebragradingfunctional identityprimitive algebra

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Graded rings and modules (associative rings and algebras) (16W50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Functional identities (associative rings and algebras) (16R60)

Related Items (7)

Functional identities on tensor products of algebras. ⋮ Fine gradings and automorphism groups on associative algebras ⋮ Gradings, braidings, representations, paraparticles: some open problems ⋮ Simple graded division algebras over the field of real numbers ⋮ Functional identities and their applications ⋮ Orthogonal-gradings on \(H^*\)-algebras ⋮ Group gradings on the Lie and Jordan superalgebrasQ(n)

Cites Work

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• Gradings on simple algebras of finitary matrices.
• Classification of group gradings on simple Lie algebras of types \(\mathcal A\), \(\mathcal B\), \(\mathcal C\) and \(\mathcal D\)
• Fine gradings on simple classical Lie algebras
• Finitary simple Lie algebras
• Gradings on simple Jordan and Lie algebras
• Finitary Lie algebras.
• Involutions on graded matrix algebras.
• Lie gradings on associative algebras
• Group gradings on simple Lie algebras in positive characteristic

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