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 50 条
  • [1] The semi-infinite intersection cohomology sheaf
    Gaitsgory, D.
    ADVANCES IN MATHEMATICS, 2018, 327 : 789 - 868
  • [2] Localization in semi-infinite herringbone waveguides
    Haslinger, S. G.
    Jones, I. S.
    Movchan, N. V.
    Movchan, A. B.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 474 (2211):
  • [3] SEMI-INFINITE SCHUBERT VARIETIES AND QUANTUM K-THEORY OF FLAG MANIFOLDS
    Braverman, Alexander
    Finkelberg, Michael
    JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 27 (04) : 1147 - 1168
  • [4] Frobenius splitting of Schubert varieties of semi-infinite flag manifolds
    Kato, Syu
    FORUM OF MATHEMATICS PI, 2021, 9
  • [5] Higher-dimensional cluster combinatorics and representation theory
    Oppermann, Steffen
    Thomas, Hugh
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2012, 14 (06) : 1679 - 1737
  • [6] Semi-infinite cohomology and the linkage principle for W-algebras
    Dhillon, Gurbir
    ADVANCES IN MATHEMATICS, 2021, 381
  • [7] Beyond the Sottile-Sturmfels Degeneration of a Semi-Infinite Grassmannian
    Feigin, Evgeny
    Makhlin, Igor
    Popkovich, Alexander
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (12) : 10037 - 10066
  • [8] Chevalley formula for anti-dominant weights in the equivariant K-theory of semi-infinite flag manifolds
    Naito, Satoshi
    Orr, Daniel
    Sagaki, Daisuke
    ADVANCES IN MATHEMATICS, 2021, 387
  • [9] Riesz bases and Jordan form of the translation operator in semi-infinite periodic waveguides
    Hohage, T.
    Soussi, S.
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2013, 100 (01): : 113 - 135
  • [10] The effect of small internal and dashpot damping on a trapped mode of a semi-infinite string
    Abramian, A. K.
    Vakulenko, S. A.
    van Horssen, W. T.
    Jikhareva, A.
    JOURNAL OF SOUND AND VIBRATION, 2025, 595
12345