|
|
|
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.
|
|
Reductive centralizer
pdf.
|
|
Applications of Grothendieck's covering theorem
pdf.
|
|
Nilpotence and unipotent groups
pdf.
|
|
Structure of solvable groups
pdf.
|
|
Root datum
pdf.
|
|
Levi subgroups
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.
|
|
Cartan's connectedness theorem
pdf.
|
|
Examples of standard parabolic subgroups
pdf.
|
|
The *-action
pdf.
|
|
Relatve root groups and Tits systems
pdf.
|