18.735双仿射Hecke代数的表示理论，组合学，几何，物理和数学][18.735 Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics]

18.735双仿射Hecke代数的表示理论，组合学，几何，物理和数学 18.735 Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics


课程网址:	http://ocw.mit.edu/courses/mathematics/18-735-double-affine-hecke...
主讲教师:	Pavel Etingof
开课单位:	麻省理工学院
开课时间:	信息不详。欢迎您在右侧留言补充。
课程语种:	英语
中文简介:	双仿射Hecke代数(DAHA),也称为Cherednik代数及其表示形式出现在许多地方:可积系统(Calogero-Moser和Ruijsenaars模型)、代数几何(希尔伯特计划),正交多项式,谎言理论,量子组,等等。在这门课中,我们将回顾DAHA及其表征的基本理论,强调他们与其他学科联系和开放问题。
课程简介:	Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their representations appear in many contexts: integrable systems (Calogero-Moser and Ruijsenaars models), algebraic geometry (Hilbert schemes), orthogonal polynomials, Lie theory, quantum groups, etc. In this course we will review the basic theory of DAHA and their representations, emphasizing their connections with other subjects and open problems.
关键词:	算子; 仿射代数; 表示理论; 希尔伯特方案; 代数; 积分; 可积系统
课程来源:	麻省理工学院公开课
最后编审:	2018-06-24：cmh
阅读次数:	67

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