Introduction to the theory of linear algebraic groups. Lie algebras, the Jordan Chevalley decomposition, semisimple and reductive groups, root systems, Borel subgroups, classification of reductive groups and their representations.
Objective
Literature
A. L. Onishchik and E.B. Vinberg, Lie Groups and Algebraic Groups
Prerequisites / Notice
Abstract algebra: groups, rings, fields, tensor product, etc.
Some familiarity with the basics of Lie groups and their Lie algebras would be helpful, but is not absolutely necessary.
We will develop what we need from algebraic geometry, without assuming prior knowledge.
Performance assessment
Performance assessment information (valid until the course unit is held again)