Fourier, G. (2016) PBW-degenerated Demazure modules and Schubert varieties for triangular elements. Journal of Combinatorial Theory, Series A, 139, pp. 132-152. (doi: 10.1016/j.jcta.2015.12.001)
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Abstract
We study certain faces of the normal polytope introduced by Feigin, Littelmann and the author whose lattice points parametrize a monomial basis of the PBW-degenerated of simple modules for sln+1. We show that lattice points in these faces parametrize monomial bases of PBW-degenerated Demazure modules associated to Weyl group elements satisfying a certain closure property, for example Kempf elements. These faces are again normal polytopes and their Minkowski sum is compatible with tensor products, which implies that we obtain flat degenerations of the corresponding Schubert varieties to PBW degenerated and toric varieties.
Item Type: | Articles |
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Additional Information: | The author is supported by the project “Shuffles and Schur positivity” within DFG priority program 1388 “Representation Theory”. |
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Fourier, Dr Ghislain |
Authors: | Fourier, G. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Journal of Combinatorial Theory, Series A |
Publisher: | Elsevier |
ISSN: | 0097-3165 |
Published Online: | 15 December 2015 |
First Published: | First published in Journal of Combinatorial Theory, Series A 139: 132-152 |
Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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