Title of the course: Lie algebras
Instructor: Assoc. Prof. Şükrü Yalçınkaya
Institution: İstanbul Ü.
Dates: 22 July – 4 August 2019
Prerequisites: Good knowledge of linear algebra, basics of group theory.
Level: Graduate, advanced undergraduate
Abstract: In the first week, we study some of the fundamental facts about Lie algebras over the complex field. We start by various important examples of Lie algebras and continue with discussing exponential map, solvable and nilpotent Lie algebras and Cartan decomposition. In the second week, we study the root systems and the structure of their Weyl groups.
Language: TR, EN