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Course notes (by S. Lichtenstein) with all (corrected) handouts as appendices
pdf.
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Orthogonal groups
pdf.
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Jordan decomposition via exercises
pdf.
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Existence of Jordan decomposition
pdf.
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Affineness of quotients by normal subgroup schemes
pdf.
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Quotient formalism
pdf.
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Grothendieck's theorem on tori
pdf.
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Conjugacy into a maximal torus
pdf.
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Dynamic approach to algebraic groups
pdf.
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