Algebraic construction of contragradient quasi-Verma modules in positive characteristic

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dc.creatorArkhipov, Sergey
dc.date2001-05-05
dc.date.accessioned2026-07-07T04:41:36Z
dc.date.available2026-07-07T04:41:36Z
dc.descriptionIn the present paper we investigate a new class of infinite-dimensional modules over the hyperalgebra of a semi-simple algebraic group in positive chararacteristic called quasi-Verma modules. We provide a purely algebraic construction of the global Grothendieck-Cousin complex corresponding to the standard line bumdle ${\mathcal L}(λ)$ on the Flag variety of the algebraic group stratified by Schubert cells. We prove that the complex consists of direct sums of quasi-Verma modules for the highest weights of the form $w\cdotλ$ for various elements $w$ of the Weyl group.
dc.description31 pages, AMSLaTeX
dc.identifierhttps://arxiv.org/abs/math/0105042
dc.identifierhttp://arxiv.org/abs/math/0105042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61430
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.titleAlgebraic construction of contragradient quasi-Verma modules in positive characteristic
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