Twisted Verma modules

dc.creatorAndersen, Henning Haahr
dc.creatorLauritzen, Niels
dc.date2001-05-02
dc.date.accessioned2026-07-07T08:05:58Z
dc.date.available2026-07-07T08:05:58Z
dc.descriptionUsing principal series Harish-Chandra modules, local cohomology with support in Schubert cells and twisting functors we construct certain modules parametrized by the Weyl group and a highest weight in the subcategory O of the category of representations of a complex semisimple Lie algebra. These are in a sense modules between a Verma module and its dual. We prove that the three different approaches lead to the same modules. Moreover, we demonstrate that they possess natural Jantzen type filtrations with corresponding sum formulae.
dc.identifierhttps://arxiv.org/abs/math/0105012
dc.identifierhttp://arxiv.org/abs/math/0105012
dc.identifierStudies in Memory of Issai Schur, PIM 210, BirkhÃ?user 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130451
dc.subjectQuantum Algebra
dc.subjectAlgebraic Geometry
dc.subject17B10;14B45
dc.titleTwisted Verma modules
dc.typetext

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