Non-degenerate graded Lie algebras with a degenerate transitive subalgebra

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dc.creatorGregory, Thomas B.
dc.creatorKuznetsov, Michael I.
dc.date2009-01-28
dc.date2009-02-17
dc.date.accessioned2026-07-07T12:42:02Z
dc.date.available2026-07-07T12:42:02Z
dc.descriptionThe property of degeneration of modular graded Lie algebras, first investigated by B. Weisfeiler, is analyzed. Transitive irreducible graded Lie algebras $L=\sum_{i\in \mathbb Z}L_i,$ over an algebraically closed field of characteristic $p>2,$ with classical reductive component $L_0$ are considered. We show that if a non-degenerate Lie algebra $L$ contains a transitive degenerate subalgebra $L'$ such that $\dim L'_1>1,$ then $L$ is an infinite-dimensional Lie algebra.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0901.4525
dc.identifierhttp://arxiv.org/abs/0901.4525
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219943
dc.subjectRings and Algebras
dc.subject17B05, 17B20, 17B50, 17B70
dc.titleNon-degenerate graded Lie algebras with a degenerate transitive subalgebra
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