MATH615 LIE ALGEBRAS
| Course Code: | 2360615 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | |
| Offered Semester: | Fall Semesters. |
Course Objectives
Lie groups and Lie algebras are especially important in the study of group actions on vector spaces. Besides explaining problems in several areas in mathematics, Lie algebras are interesting in their own right. The classification of simple complex Lie algebras is a beautiful application of linear algebra. The aim of this course is to introduce some of the techniques for studying Lie algebras.
Course Content
Basic Concepts, semisimple Lie Algebras, root systems, isomorphism and conjugacy theorems, existence theorem.