On Commutative Polarizations

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dc.creatorElashvili, Alexader G.
dc.creatorOoms, Alfons I.
dc.date2003-02-19
dc.date.accessioned2026-07-07T04:55:25Z
dc.date.available2026-07-07T04:55:25Z
dc.descriptionThe purpose of this paper is to study finite-dimensional Lie algebras over a field k of characteristic zero which admit a commutative polarization (CP). Among the many results and examples, it is shown that, if k is algebraically closed, the nilradical N of a parabolic subalgebra in A_n and C_n has such a CP. Using this fact a simple closed formula is derived for the index of N.
dc.description34 pages, 2 figures. Submitted to Journal of Algebra
dc.identifierhttps://arxiv.org/abs/math/0302229
dc.identifierhttp://arxiv.org/abs/math/0302229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66572
dc.subjectRepresentation Theory
dc.subject17B45
dc.titleOn Commutative Polarizations
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