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
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D O I：
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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.
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页码：649 / 657
页数：9
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