Explicit Realization of Induced and Coinduced modules over Lie Superalgebras by Differential Operators

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dc.creatorMolotkov, Vladimir
dc.date2005-09-05
dc.date2005-09-08
dc.date.accessioned2026-07-07T05:22:58Z
dc.date.available2026-07-07T05:22:58Z
dc.descriptionIn this article are given explicit expressions for differential operators representing the action of any element of any Lie superalgebra g on a module induced or coinduced from an h-module V, where h is any subsuperalgebra of g. For the special case where g=g_+h, and g_ is a finite-dimensional subsuperalgebra of g, whose adjoint action on g is nilpotent, there is given a practical algorithm of calculation of this action. The program in C++ making the calculations for this case is also written.
dc.description32 pages, minor changes and typo corrections
dc.identifierhttps://arxiv.org/abs/math/0509105
dc.identifierhttp://arxiv.org/abs/math/0509105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76264
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject17B15; 17B65
dc.titleExplicit Realization of Induced and Coinduced modules over Lie Superalgebras by Differential Operators
dc.typetext

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