Generalization of modular lowering operators for GL_n

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dc.creatorShchigolev, Vladimir
dc.date2007-03-05
dc.date.accessioned2026-07-07T07:50:14Z
dc.date.available2026-07-07T07:50:14Z
dc.descriptionWe consider the generalization of Kleshchev's lowering operators obtained by raising all the Carter-Lusztig operators in their definition to a power less than the characteristic of the ground field. If we apply such an operator to a nonzero GL_{n-1}-high weight vector of an irreducible representation of GL_n, shall we get a nonzero GL_{n-1}-high weight vector again? The present paper gives the explicit answer to this question. In this way we obtain a new algorithm for generating some normal weights.
dc.descriptionto appear in Communications in Algebra
dc.identifierhttps://arxiv.org/abs/math/0703128
dc.identifierhttp://arxiv.org/abs/math/0703128
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125098
dc.subjectRepresentation Theory
dc.subject20G05
dc.titleGeneralization of modular lowering operators for GL_n
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