本課程名稱為: 代數羣論

I. Contents：
Affine algebraic groups, Action of algebraic groups on varieties
Homogeneous spaces Lie algebra of an algebraic group.
Quotilents Jordan-Chevalley decomposition, diagonalizable group, nilpotent and solvable groups, Borel subgroups, Ccentralizedr of tori, Roots systems , Rationality problems.
We will emphasize computing classical groups explicitly, Gln , Spn, Orthogonal groups, etc.