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Structure and representations of semisimple Lie algebras and semidirect product Lie algebras

Structure and representations of semisimple Lie algebras and semidirect product Lie algebras
半单李代数和半直积李代数的结构和表示
批准号：
RGPIN-2015-04770
负责人：
Repka, Joe
金额：
$0.8万
依托单位：
University of Toronto
依托单位国家：
加拿大
项目类别：
Discovery Grants Program - Individual
财政年份：
2015
资助国家：
加拿大
项目状态：
已结题
起止时间：
2015-01-01 至 2016-12-31
来源：
https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=590002
关键词：
StructurerepresentationssemisimpleLiealgebras

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英文摘要
The everyday concept of symmetry is extremely important across the sciences. In mathematics, it is studied through the concept of groups, for which there is a highly developed theory. In many cases, especially those of interest in physics, it is possible to associate to a symmetry group a related object called a Lie algebra. It contains most of the same information as the original group, but some of it is in a form that is easier to work with for some purposes. Specifically, applications to quantum mechanics are frequently expressed in terms of Lie algebras rather than the corresponding symmetry groups.
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Solvable Subalgebras of Classical Lie Algebras
  • 批准号：
    RGPIN-2019-06817
  • 项目类别：
    Discovery Grants Program - Individual
  • 资助金额：
    $1.09万
  • 财政年份：
    2019
  • 负责人：
    Repka, Joe
  • 依托单位：
    University of Toronto
Group representation, mathematical physics, mathematical biology
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  • 项目类别：
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  • 资助金额：
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  • 财政年份：
    2013
  • 负责人：
    Repka, Joe
  • 依托单位：
    University of Toronto
Group representation, mathematical physics, mathematical biology
  • 批准号：
    3166-2009
  • 项目类别：
    Discovery Grants Program - Individual
  • 资助金额：
    $1.31万
  • 财政年份：
    2012
  • 负责人：
    Repka, Joe
  • 依托单位：
    University of Toronto
Group representation, mathematical physics, mathematical biology
  • 批准号：
    3166-2009
  • 项目类别：
    Discovery Grants Program - Individual
  • 资助金额：
    $1.31万
  • 财政年份：
    2011
  • 负责人：
    Repka, Joe
  • 依托单位：
    University of Toronto
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