Degenerate flag varieties and Schubert varieties: a characteristic free approach
Degenerate flag varieties and Schubert varieties: a characteristic free approach
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退化旗帜变体和舒伯特变体：一种典型的自由方法
DOI：
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发表时间：
2015
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通讯作者：
P. Littelmann
中科院分区：
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作者：
Giovanni Cerulli Irelli;M. Lanini;P. Littelmann
本文研究了A型和C型不可约最高权模的整数上的PBW滤子。我们证明了对于同类型和双秩的群方案，相关的分次模可以实现为Demazure模。我们推导出相应的退化旗簇与Schubert簇在任何特征上同构。
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.