Cohomology of Spaltenstein varieties

被引：20

作者：

Brundan, Jonathan ^{[1
]}

Ostrik, Victor ^{[1
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

TRANSFORMATION GROUPS | 2011年 / 16卷 / 03期

关键词：

PARABOLIC CATEGORY-O; WEYL GROUPS; LAGRANGIAN CONSTRUCTION; REPRESENTATION-THEORY; NILPOTENT VARIETIES; SYMMETRIC FUNCTIONS; TRIGONOMETRIC SUMS; CONJUGACY CLASSES; FINITE-GROUPS; POLYNOMIALS;

D O I：

10.1007/s00031-011-9149-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a presentation for the cohomology algebra of the Spaltenstein variety of all partial flags annihilated by a fixed nilpotent matrix, generalizing the description of the cohomology algebra of the Springer fiber found by De Concini, Procesi and Tanisaki.

引用

页码：619 / 648

页数：30

共 22 条

[1]

BORHO W, 1983, ASTERISQUE, P23

[2]

BORHO W, 1981, CR ACAD SCI I-MATH, V292, P707

[3] Localization algebras and deformations of Koszul algebras [J].