课题基金 / 基金详情

Mathematical Sciences: Modular Interfaces, February 18-20, 1995, University of California, Riverside

Mathematical Sciences: Modular Interfaces, February 18-20, 1995, University of California, Riverside
数学科学:模块化接口,1995 年 2 月 18-20 日,加州大学河滨分校
批准号:
9500848
负责人:
Vyjayanthi Chari
金额:
$0.6万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1995
资助国家:
美国
项目状态:
已结题
起止时间:
1995-02-01 至 1996-01-31

项目摘要

项目成果

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中文摘要
翻译
该奖项支持关于正特征李代数、量子群和李超代数中李代数场之间相互作用的会议。在过去的几年里,特征p上的李代数的表示理论与量子群的表示理论之间有着重要的联系。素特征李代数与李超代数之间的关系可以追溯到20世纪70年代的S,但至今仍不完全清楚。这些问题将在这次会议上讨论。会议的时间和地点是为了纪念理查德·E·布洛克教授退休后举行的。他的作品对这一主题产生了深刻的影响。这次会议关注的是一种被称为李代数的数学对象。李代数起源于另一个叫做李群的物体。李群的一个例子是球体的旋转,其中一个旋转之后是另一个旋转。李群和李代数在涉及球面运动分析的领域中很重要。
英文摘要
This award supports a conference on the interaction between the fields of Lie algebras in positive characteristic, quantum groups, and Lie superalgebras. In the last several years, there have been important connections between the representation theory of Lie algebras in characteristic p and the representation theory of quantum groups. The relation between Lie algebras in prime characteristic and Lie superalgebras dates back to the 1970's, but is still not fully understood. These problems will be discussed at this conference. The time and place for the conference are chosen to honor Professor Richard E. Block upon his retirement. His work has had a deep impact on the subject. This conference is concerned with a mathematical object called a Lie algebra. Lie algebras arise from another object called a Lie group. An example of a Lie group is the rotations of a sphere where one rotation is followed by another. Lie groups and Lie algebras are important in areas involving analysis of sperical motion.
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会议论文
Demazure Flags, Hypergeometric Series, and Quantum Affine Algebras
  • 批准号:
    1719357
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $15.5万
  • 财政年份:
    2017
  • 负责人:
    Vyjayanthi Chari
  • 依托单位:
New Directions in Lie theory
  • 批准号:
    1344259
  • 项目类别:
    Standard Grant
  • 资助金额:
    $4.99万
  • 财政年份:
    2014
  • 负责人:
    Vyjayanthi Chari
  • 依托单位:
Quantum Affine Algebras: BGG reciprocity, Macdonald Polynomials, Schur postivity
  • 批准号:
    1303052
  • 项目类别:
    Standard Grant
  • 资助金额:
    $15.6万
  • 财政年份:
    2013
  • 负责人:
    Vyjayanthi Chari
  • 依托单位:
Algebraic and Combinatorial Approaches to Representation Theory
  • 批准号:
    0963910
  • 项目类别:
    Standard Grant
  • 资助金额:
    $4.98万
  • 财政年份:
    2010
  • 负责人:
    Vyjayanthi Chari
  • 依托单位:
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:
SCIENCE CHINA: Earth Sciences
Journal of Environmental Sciences
SCIENCE CHINA Information Sciences