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arXiv · 1502.04590

Degenerate flag varieties and Schubert varieties: a characteristic free approach

Giovanni Cerulli Irelli·Martina Lanini·Peter Littelmann
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Abstract

We consider the PBW filtrations over the integers of the irreducible highest weight modules in type A and C. 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.

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Giovanni Cerulli Irelli, Martina Lanini, Peter Littelmann. 2015-02-16. Degenerate flag varieties and Schubert varieties: a characteristic free approach. https://doi.org/10.2140/pjm.2016.284.283

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