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Mathematical Sciences: Representation Theory of Infinite Dimensional Lie Algebras and Applications

Mathematical Sciences: Representation Theory of Infinite Dimensional Lie Algebras and Applications
数学科学：无限维李代数表示论及其应用
批准号：
8802489
负责人：
Victor Kac
金额：
$0.0万
依托单位：
Massachusetts Institute of Technology
依托单位国家：
美国
项目类别：
Continuing grant
财政年份：
1988
资助国家：
美国
项目状态：
已结题
起止时间：
1988-07-01 至 1991-12-31
来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=8802489&HistoricalAwards=false
关键词：
MathematicalSciencesRepresentationTheoryInfinite

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中文摘要
翻译
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英文摘要
This project is concerned with a variety of problems in the area of infinite dimensional Lie algebras. The principal investigator will study infinite-dimensional groups associated to Kac-Moody algebras, representations of the Virasoro algebra, exceptional hierarchies of soliton equations, superintegrable systems, and moduli spaces. The research conducted under this award concerns the topological and algebra-geometric structure of infinite dimensional groups attached to Kac-Moody algebras and their flag varieties. The study of these Kac-Moody algebras have applications throughout mathematics and mathematical physics.
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会议论文
Geometry and representation theory
Perspectives in Lie Theory
Algebraic theory of integrable systems. Representations of affine superalgebras and mock theta functions
Algebraic structures arising in physics
国内基金
海外基金
Handbook of the Mathematics of the Arts and Sciences的中文翻译
  • 批准号：
    12226504
  • 项目类别：
    数学天元基金项目
  • 资助金额：
    20.0万元
  • 批准年份：
    2022
  • 负责人：
    黄朝凌
  • 依托单位：
    湖北文理学院
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