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.
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.
HG E 1.1
HG E 33.3
There will be periodic exercise classes replacing the lecture hours.