MATH-620(1) / 3 credits
Teacher: Testerman Donna
Remark: Not given in 2021
The topics addressed in this course are the structure theory of reductive algebraic groups, their associated Lie algebras, the related finite groups of Lie type, and the representation theory of all of these objects.
We start with the basic structure theory of reductive algebraic groups and proceed to study:
their representations, the subgroup structure, conjugacy classes, structural results on their Lie algebras,
the related finite groups of Lie type, generation problems.
The working group is based on advanced textbooks and journal articles.
semisimple, reductive, algebraic groups, Lie algebras
Advanced abstract algebra and group theory, representation theory, preferably some knowledge of Lie theory.
In the programs
- Exam form: Oral presentation (session free)
- Subject examined: Topics in the theory of reductive algebraic groups, Lie algebras, and representation theory I
- Lecture: 22 Hour(s)
- Exercises: 14 Hour(s)
- Practical work: 20 Hour(s)