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Course lecture notes (by S. Lichtenstein) pdf.
Orthogonal groups pdf.
Jordan decomposition via exercises pdf.
Existence of Jordan decomposition pdf.
Affineness of quotients by normal subgroup schemes pdf.
Quotient formalism pdf.
Covering by Borel subgroups pdf.
Conjugacy into a maximal torus pdf.
Grothendieck's theorem on tori pdf.
Dynamic approach to algebraic groups pdf.
Unipotent radicals and reductivity pdf.