DEGENERATE SCHUBERT VARIETIES IN TYPE A

被引：4

作者：

Chirivi, Rocco ^{[1
]}

Fang, Xin ^{[2
]}

Fourier, Ghislain ^{[3
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, Lecce, Italy

[2] Univ Cologne, Math Inst, D-50931 Cologne, Germany

[3] Rhein Westfal TH Aachen, Lehrstuhl Algebra & Darstellungstheorie, D-52056 Aachen, Germany

来源：

TRANSFORMATION GROUPS | 2021年 / 26卷 / 04期

关键词：

FLAG VARIETIES; MODULES;

D O I：

10.1007/s00031-020-09558-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce rectangular elements in the symmetric group. In the framework of PBW degenerations, we show that in type A the degenerate Schubert variety associated with a rectangular element is indeed a Schubert variety in a partial ag variety of the same type with larger rank. Moreover, the degenerate Demazure module associated with a rectangular element is isomorphic to the Demazure module for this particular Schubert variety of larger rank. This generalises previous results by Cerulli Irelli, Lanini and Littelmann for the PBW degenerate ag variety in [CLL].

引用

页码：1189 / 1215

页数：27

共 50 条

[21] PROJECTED RICHARDSON VARIETIES AND AFFINE SCHUBERT VARIETIES
He, Xuhua
Lam, Thomas
ANNALES DE L INSTITUT FOURIER, 2015, 65 (06) : 2385 - 2412
[22] Combinatorics of semi-toric degenerations of Schubert varieties in type C
Fujita, Naoki
Nishiyama, Yuta
MATHEMATISCHE ZEITSCHRIFT, 2024, 307 (04)
[23] ON THE NORMALITY OF THE RINGS OF SCHUBERT VARIETIES
HUNEKE, C
LAKSHMIBAI, V
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1982, 91 (01): : 65 - 71
[24] Schubert Varieties and Free Braidedness
R.M. Green
J. Losonczy
Transformation Groups, 2004, 9 : 327 - 336
[25] Permutation representations on Schubert varieties
Tymoczko, Julianna S.
AMERICAN JOURNAL OF MATHEMATICS, 2008, 130 (05) : 1171 - 1194
[26] On the Torus quotients of Schubert varieties
Bonala, Narasimha Chary
Pattanayak, Santosha Kumar
INTERNATIONAL JOURNAL OF MATHEMATICS, 2021, 32 (03)
[27] The singular locus of Schubert varieties
Manivel, L
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2001, 2001 (16) : 849 - 871
[28] Schubert varieties and cycle spaces
Huckleberry, AT
Wolf, JA
DUKE MATHEMATICAL JOURNAL, 2003, 120 (02) : 229 - 249
[29] UNIVERSAL GRAPH SCHUBERT VARIETIES
Pawlowski, Brendan
TRANSFORMATION GROUPS, 2021, 26 (04) : 1417 - 1461
[30] Singularities of Affine Schubert Varieties
Kuttler, Jochen
Lakshmibai, Venkatramani
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, 5

← 1 2 3 4 5 →