POLYNOMIALS FOR SYMMETRIC ORBIT CLOSURES IN THE FLAG VARIETY

被引：0
作者：
Wyser B. [1 ]
Yong A. [1 ]
机构：
[1] Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, 61801, IL
来源：
Transformation Groups | 2017年 / 22卷 / 1期
基金：
美国国家科学基金会;
关键词：
Orbit Closure; Weak Order; Equivariant Cohomology; Schubert Variety; Symmetric Pair;
D O I：
10.1007/s00031-016-9381-x
中图分类号：
学科分类号：
摘要：
In [WY] we introduced polynomial representatives of cohomology classes of orbit closures in the flag variety, for the symmetric pair (GLp+q, GLp × GLq). We present analogous results for the remaining symmetric pairs of the form (GLn, K), i.e., (GLn, On) and (GL2n, Sp2n). We establish “well-definedness” of certain representatives from [Wy1]. It is also shown that the representatives have the combinatorial properties of nonnegativity and stability. Moreover, we give some extensions to equivariant K-theory. © 2016, Springer Science+Business Media New York.
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收藏
页码：267 / 290
页数：23
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