課程概述 |
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.
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