Equivariant Pieri rules for isotropic Grassmannians

被引：4
|
作者：
Li, Changzheng [1 ]
Ravikumar, Vijay [2 ]
机构：
[1] Inst for Basic Sci Korea, Ctr Geometry & Phys, Pohang 790784, South Korea
[2] Chennai Math Inst, H1 SIPCOT IT Pk, Kelambakkam, Siruseri, India
来源：
MATHEMATISCHE ANNALEN | 2016年 / 365卷 / 1-2期
关键词：
DOUBLE SCHUBERT POLYNOMIALS; KAC-MOODY GROUP; QUANTUM COHOMOLOGY; CLASSICAL-GROUPS; K-THEORY; CALCULUS; FORMULAS; GIAMBELLI; PUZZLES; RING;
D O I：
10.1007/s00208-015-1266-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a Pieri rule for the torus-equivariant cohomology of (submaximal) Grassmannians of Lie types B, C, and D. To the authors' best knowledge, our rule is the first manifestly positive formula, beyond the equivariant Chevalley formula. We also give a simple proof of the equivariant Pieri rule for the ordinary (type A) Grassmannian.
引用
收藏
页码：881 / 909
页数：29
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