Kazhdan-Lusztig conjecture via zastava spaces

被引：0

作者：

Braverman, Alexander ^{[1
,2
,3
]}

Finkelberg, Michael ^{[3
,4
,5
]}

Nakajima, Hiraku ^{[6
,7
]}

机构：

[1] Univ Toronto, Dept Math, Waterloo, ON N2L 2Y5, Canada

[2] Univ Toronto, Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

[3] Skolkovo Inst Sci & Technol, Bolshoi Bulvar 30,Bld 1, Moscow 121205, Russia

[4] Natl Res Univ Higher Sch Econ, Dept Math, 6 Usacheva St, Moscow 119048, Russia

[5] Inst Informat Transmiss Problems, Bolshoi Karetnyi 19, Moscow 127051, Russia

[6] Univ Tokyo, Kavli Inst Phys & Math Univ WPI, 5-1-5 Kashiwanoha, Kashiwa, Chiba 2778583, Japan

[7] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2022年 / 2022卷 / 787期

关键词：

KOSZUL DUALITY; QUIVER VARIETIES; LOCALIZATION; CATEGORY; ALGEBRAS; MODULES;

D O I：

10.1515/crelle-2022-0013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deduce the Kazhdan-Lusztig conjecture on the multiplicities of simple modules over a simple complex Lie algebra in Verma modules in category O from the equivariant geometric Satake correspondence and the analysis of torus fixed points in zastava spaces. We make similar speculations for the affine Lie algebras and W-algebras.

引用

页码：45 / 78

页数：34

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