We consider the PBW filtrations over Z of the irreducible highest weight modules in type An and Cn. We show that the associated graded modules can be realized as Demazure modules for group schemes of the same type and doubled rank. We deduce that the corresponding degenerate flag varieties are isomorphic to Schubert varieties in any characteristic.
Degenerate flag varieties and Schubert varieties: A characteristic free approach / CERULLI IRELLI, Giovanni; Lanini, Martina; Littelmann, Peter. - In: PACIFIC JOURNAL OF MATHEMATICS. - ISSN 0030-8730. - STAMPA. - 284:2(2016), pp. 283-308. [10.2140/pjm.2016.284.283]
Degenerate flag varieties and Schubert varieties: A characteristic free approach
CERULLI IRELLI, GIOVANNI;LANINI, MARTINA;
2016
Abstract
We consider the PBW filtrations over Z of the irreducible highest weight modules in type An and Cn. We show that the associated graded modules can be realized as Demazure modules for group schemes of the same type and doubled rank. We deduce that the corresponding degenerate flag varieties are isomorphic to Schubert varieties in any characteristic.File allegati a questo prodotto
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