Degenerate flag varieties and Schubert varieties: a characteristic free approach
Representation Theory
2016-09-07 v3 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1502.04590,
title = {Degenerate flag varieties and Schubert varieties: a characteristic free approach},
author = {Giovanni Cerulli Irelli and Martina Lanini and Peter Littelmann},
journal= {arXiv preprint arXiv:1502.04590},
year = {2016}
}
Comments
23 pages; A few typos corrected; Authors affiliation added