Representation Theory of Lie algebras


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Course Description

The course is intended for second year Ph.D students. We will begin by discussing various contexts where study of representation theory of Lie groups and Lie algebras arise. There are no prerequisites for this course except for the standard first year courses. I am planning to teach a two semester sequence on the topic. The second part is more geared towards applications and geometric methods. I plan to initially cover the following topics listed in the syllabus and then depending on time, we cover some topics from Kac-Moody algebras. Please refer to the syllabus for the recommended books and study materials.

Lecture Notes


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