Semi-infinite combinatorics in representation theory

被引：0
作者：
Lanini, Martina [1 ]
机构：
[1] Univ Edinburgh, Sch Math, Edinburgh EH9 3FD, Midlothian, Scotland
来源：
REPRESENTATION THEORY - CURRENT TRENDS AND PERSPECTIVES | 2017年
关键词：
Moment graphs; semi-infinite Order; character formulae; MOMENT GRAPHS; HECKE ALGEBRAS; LOCALIZATION; COHOMOLOGY; CONJECTURE; MODULES; SHEAVES; LEVEL;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we discuss some appearances of semi-infinite combinatorics in representation theory. We propose a semi-infinite moment graph theory and we motivate it by considering the (not yet rigorously defined) geometric side of the story. We show that it is possible to compute stalks of the local intersection cohomology of the semi infinite flag variety, and hence of spaces of quasi maps, by performing an algorithm due to Braden and MacPherson.
引用
收藏
页码：501 / 518
页数：18
相关论文
共 34 条
[1]  
Andersen H. H., 1994, Asterisque, V220
[2]  
[Anonymous], 2002, Kac-Moody Groups, Their Flag Varieties and Their Representations
[3]  
[Anonymous], ARXIV13095055
[4]  
[Anonymous], 1999, DIFFERENTIAL TOPOLOG
[5]  
Arakawa T., MOMENT GRAPH L UNPUB
[6]   TWO-SIDED BGG RESOLUTIONS OF ADMISSIBLE REPRESENTATIONS [J].
Arakawa, Tomoyuki .
REPRESENTATION THEORY, 2014, 18 :183-222
[7]   ON THE RESTRICTED VERMA MODULES AT THE CRITICAL LEVEL [J].
Arakawa, Tomoyuki ;
Fiebig, Peter .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (09) :4683-4712
[8]   Modules over the small quantum group and semi-infinite flag manifold [J].
Arkhipov, S ;
Bezrukavnikov, R ;
Braverman, A ;
Gaitscory, D ;
Mikovic, I .
TRANSFORMATION GROUPS, 2005, 10 (3-4) :279-362
[9]  
Braden T, 2001, MATH ANN, V321, P533
[10]   Intersection cohomology of Drinfeld's compactifications [J].
Braverman A. ;
Finkelberg M. ;
Gaitsgory D. ;
Mirković I. .
Selecta Mathematica, 2002, 8 (3) :381-418
1234