Group gradings on simple Lie algebras in positive characteristic

DOI10.1090/S0002-9939-08-09634-2zbMath1168.17016arXiv0706.1045OpenAlexW2103468656WikidataQ115290095 ScholiaQ115290095MaRDI QIDQ3623335

Mikhail Kochetov, Susan Montgomery, Yu. A. Bakhturin

Publication date: 17 April 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1045

zbMATH Keywords

Lie algebragroupfieldcharacteristicgrading

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Graded Lie (super)algebras (17B70) Graded rings and modules (associative rings and algebras) (16W50) Modular Lie (super)algebras (17B50)

Related Items (9)

GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS ⋮ Gradings, braidings, representations, paraparticles: some open problems ⋮ Classification of group gradings on simple Lie algebras of types \(\mathcal A\), \(\mathcal B\), \(\mathcal C\) and \(\mathcal D\) ⋮ Gradings on the exceptional Lie algebras \(F_4\) and \(G_2\) revisited ⋮ Lie gradings on associative algebras ⋮ Group gradings on the Lie algebra \(\mathfrak{psl}_n\) in positive characteristic ⋮ Algebras simple with respect to a Sweedler's algebra action ⋮ Gradings on finite-dimensional simple Lie algebras ⋮ Algebras simple with respect to a Taft algebra action.

Cites Work

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• \(Z_2\times Z_2\)-symmetric spaces
• Lie isomorphisms in *-prime GPI rings with involution
• On Herstein's Lie map conjectures. III
• Gradings on simple Jordan and Lie algebras
• Involutions on graded matrix algebras.
• Graded Lie algebras and symmetric spaces
• Group Gradings on Associative Algebras with Involution
• The recognition theorem for graded Lie algebras in prime characteristic

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