Infinitesimal Invariants in a Function Algebra

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dc.creatorTange, R. H.
dc.date2006-11-14
dc.date2008-01-22
dc.date.accessioned2026-07-07T08:55:42Z
dc.date.available2026-07-07T08:55:42Z
dc.descriptionLet G be a reductive connected linear algebraic group over an algebraically closed field of positive characteristic and let g be its Lie algebra. First we extend a well-known result about the Picard group of a semisimple group to reductive groups. Then we prove that, if the derived group is simply connected and g satisfies a mild condition, the algebra K[G]^g of regular functions on G that are invariant under the action of g derived from the conjugation action, is a unique factorisation domain.
dc.identifierhttps://arxiv.org/abs/math/0611438
dc.identifierhttp://arxiv.org/abs/math/0611438
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146357
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.titleInfinitesimal Invariants in a Function Algebra
dc.typetext

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