We consider the PBW filtrations over Z of the irreducible highest weight modules in type A(n) and C(n). 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.
Cerulli Irelli, G., Lanini, M., Littelmann, P. (2016). Degenerate flag varieties and Schubert varieties: A characteristic free approach. PACIFIC JOURNAL OF MATHEMATICS, 284(2), 283-308 [10.2140/pjm.2016.284.283].
Degenerate flag varieties and Schubert varieties: A characteristic free approach
Lanini M.;
2016-01-01
Abstract
We consider the PBW filtrations over Z of the irreducible highest weight modules in type A(n) and C(n). 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 in questo prodotto:
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