Extended quadratic algebra and a model of the equivariant cohomology ring of flag varieties

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dc.creatorKirillov, Anatol N.
dc.creatorMaeno, Toshiaki
dc.date2007-12-16
dc.date2008-11-10
dc.date.accessioned2026-07-07T10:16:42Z
dc.date.available2026-07-07T10:16:42Z
dc.descriptionFor the root system of type $A$ we introduce and study a certain extension of the quadratic algebra invented by S. Fomin and the first author, to construct a model for the equivariant cohomology ring of the corresponding flag variety. As an application of our construction we describe a generalization of the equivariant Pieri rule for double Schubert polynomials. For a general finite Coxeter system we construct an extension of the corresponding Nichols-Woronowicz algebra. In the case of finite crystallographic Coxeter systems we present a construction of extended Nichols-Woronowicz algebra model for the equivariant cohomology of the corresponding flag variety.
dc.identifierhttps://arxiv.org/abs/0712.2580
dc.identifierhttp://arxiv.org/abs/0712.2580
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173598
dc.subjectQuantum Algebra
dc.titleExtended quadratic algebra and a model of the equivariant cohomology ring of flag varieties
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