Algebraization of Frobenius splitting via quantum groups

dc.creatorKumar, Shrawan
dc.creatorLittelmann, Peter
dc.date2000-05-24
dc.date2004-05-20
dc.date.accessioned2026-07-07T04:35:31Z
dc.date.available2026-07-07T04:35:31Z
dc.descriptionAn important breakthrough in understanding the geometry of Schubert varieties was the introduction of the notion of Frobenius split varieties and the result that the flag varieties G/P are Frobenius split. The aim of this article is to give in this case a complete and self contained representation theoretic approach to this method. The geometric Frobenius method in (char k=p>0) will here be replaced by Lusztig's Frobenius maps for quantum groups at roots of unity (which exist not only for primes but any odd integer \ell >1).
dc.description62 pages, published version
dc.identifierhttps://arxiv.org/abs/math/0005246
dc.identifierhttp://arxiv.org/abs/math/0005246
dc.identifierAnn. of Math. (2), Vol. 155 (2002), no. 2, 491--551
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59278
dc.subjectQuantum Algebra
dc.subjectAlgebraic Geometry
dc.titleAlgebraization of Frobenius splitting via quantum groups
dc.typetext

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