Deformed cohomology of flag varieties

被引：0

作者：

Pechenik, Oliver ^{[1
,2
]}

Searles, Dominic ^{[3
,4
]}

机构：

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

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[3] Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA

[4] Univ Otago, Dept Math & Stat, Dunedin 9016, New Zealand

来源：

MATHEMATICAL RESEARCH LETTERS | 2018年 / 25卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper introduces a two-parameter deformation of the cohomology of generalized flag varieties. One special case is the Belkale-Kumar deformation (used to study eigencones of Lie groups). Another picks out intersections of Schubert varieties that behave nicely under projections. Our construction yields a new proof that the Belkale-Kumar product is well-defined. This proof is shorter and more elementary than earlier proofs.

引用

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页码：649 / 657

页数：9

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