Irelli, Giovanni Cerulli, Lanini, Martina and Littelmann, Peter (2016). DEGENERATE FLAG VARIETIES AND SCHUBERT VARIETIES: A CHARACTERISTIC FREE APPROACH. Pac. J. Math., 284 (2). S. 283 - 309. BERKELEY: PACIFIC JOURNAL MATHEMATICS. ISSN 0030-8730

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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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Irelli, Giovanni CerulliUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Lanini, MartinaUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Littelmann, PeterUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-258887
DOI: 10.2140/pjm.2016.284.283
Journal or Publication Title: Pac. J. Math.
Volume: 284
Number: 2
Page Range: S. 283 - 309
Date: 2016
Publisher: PACIFIC JOURNAL MATHEMATICS
Place of Publication: BERKELEY
ISSN: 0030-8730
Language: English
Faculty: Faculty of Mathematics and Natural Sciences
Divisions: Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/25888

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