Representation theory of finite groups and association schemes

有限群表示论和关联格式

• 批准号: 194195-2012
• 负责人: Herman, Allen
• 金额: $ 0.87万
• 依托单位: University of Regina
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2016
• 资助国家: 加拿大
• 起止时间: 2016-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=593688
• 关键词: Representation; theory; finite; groups; association

Groups are algebraic structures that can be used to understand symmetries of objects. The representation theory of groups is the area of algebra that makes it possible for us to represent these symmetries in a matrix form, which gives us a means to work with complicated structure using the familiar tools of linear algebra. A basic understanding of group representation theory is essential for an understanding of research being done now in computer science, chemistry, physics, and information theory.

群是可以用来理解对象对称性的代数结构。群的表示论是代数的一个领域，它使我们能够用矩阵的形式来表示这些对称性，这给了我们一种使用线性代数的熟悉工具来处理复杂结构的方法。对群表示理论的基本理解对于理解计算机科学、化学、物理学和信息论中正在进行的研究是必不可少的。