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.

Cerulli Irelli, G., Lanini, M., Littelmann, P. (2016). Degenerate flag varieties and Schubert varieties: A characteristic free approach. PACIFIC JOURNAL OF MATHEMATICS, 284(2), 283-308 [10.2140/pjm.2016.284.283].

Degenerate flag varieties and Schubert varieties: A characteristic free approach

Lanini M.;
2016-01-01

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.
2016
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/02 - ALGEBRA
English
Schubert varieties; degenerate flag varieties; Demazure modules
Cerulli Irelli, G., Lanini, M., Littelmann, P. (2016). Degenerate flag varieties and Schubert varieties: A characteristic free approach. PACIFIC JOURNAL OF MATHEMATICS, 284(2), 283-308 [10.2140/pjm.2016.284.283].
Cerulli Irelli, G; Lanini, M; Littelmann, P
Articolo su rivista
File in questo prodotto:
File Dimensione Formato  
GioMarPet_May2016.pdf

accesso aperto

Licenza: Non specificato
Dimensione 412.62 kB
Formato Adobe PDF
412.62 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/199868
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 4
social impact