Double affine Lie theory

双仿射李理论

• 批准号: 371982-2009
• 负责人: Guay, Nicolas
• 金额: $ 1.68万
• 依托单位: University of Alberta
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=503683
• 关键词: Double; affine; Lie; theory

Algebra is a branch of mathematics which studies additional structures on sets which are similar to addition and multiplication of numbers. Such structured sets are also called by the generic name of "algebras". Lie algebras are slightly different and resemble spaces of matrices (arrays of numbers). Those that I am interested in are called "double affine": they are matrices with entries which are polynomials in two variables. Affine algebras and Lie algebras play a central role in mathematical physics and the importance of those of double affine type for this branch of theoretical science has been increasing over the last ten years: thus, some of my work may be of interest to physicists.

代数是数学的一个分支，研究类似于数字加法和乘法的集合上的附加结构。这种结构化集合也被称为“代数”的通用名称。李代数略有不同，类似于矩阵空间（数字数组）。 我感兴趣的那些被称为“双仿射”：它们是矩阵，其条目是两个变量的多项式。仿射代数和李代数在数学物理学中发挥着核心作用，而双仿射型对于这一理论科学分支的重要性在过去十年中一直在增加：因此，物理学家可能会对我的一些工作感兴趣。