
Background lecture notes (by S. Lichtenstein)
pdf.

Current course lecture notes (by T. Feng)
pdf.

Lang's theorem and dynamic methods
pdf.

Torus centralizer of a coset space
pdf.

Basics of reductivity and semisimplicity
pdf.

Applications of Grothendieck's covering theorem
pdf.

Nilpotence and unipotent groups
pdf.

Structure of solvable groups
pdf.

Root datum
pdf.

Compactness and anisotropicity
pdf.

Unirationality
pdf.

Center and adjoint kernel
pdf.

Root systems for classical groups
pdf.

Simple isogeny factors
pdf.

Geometric Bruhat decomposition
pdf.

Tits systems
pdf.

Relative Bruhat decomposition
pdf.

Examples of relative roots
pdf.

Reductive centralizer
pdf.

Cartan's connectedness theorem
pdf.

Examples of standard parabolic subgroups
pdf.

The *action
pdf.

Relatve root groups and Tits systems
pdf.
