A Giambelli formula for isotropic Grassmannians

被引：17

作者：

Buch, Anders Skovsted ^{[1
]}

Kresch, Andrew ^{[2
]}

Tamvakis, Harry ^{[3
]}

机构：

[1] Rutgers State Univ, Dept Math, 110 Frelinghuysen Rd, Piscataway, NJ 08854 USA

[2] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

[3] Univ Maryland, Dept Math, 1301 Math Bldg, College Pk, MD 20742 USA

来源：

SELECTA MATHEMATICA-NEW SERIES | 2017年 / 23卷 / 02期

基金：

美国国家科学基金会; 瑞士国家科学基金会;

关键词：

Giambelli formula; Isotropic Grassmannians; Raising operators; Theta polynomials; Schubert polynomials; SCHUBERT POLYNOMIALS; PIERI;

D O I：

10.1007/s00029-016-0250-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a symplectic or odd orthogonal Grassmannian. We prove a Giambelli formula which expresses an arbitrary Schubert class in H* (X, Z) as a polynomial in certain special Schubert classes. This polynomial, which we call a theta polynomial, is defined using raising operators, and we study its image in the ring of Billey-Haiman Schubert polynomials.

引用

页码：869 / 914

页数：46

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