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A single document containing the course lecture notes and
all handouts (as appendices), with internal cross-references to the latter in the main text,
is available at the AMS Open Math Notes website, for the course called "Algebraic groups II".
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The background lecture notes at the top of the list below are also available there, with
associated exercise sheets and handouts as appendices, for the course called "Algebraic groups I".
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Background lecture notes (by S. Lichtenstein)
pdf.
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Current course lecture notes (by T. Feng)
pdf.
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Lang's theorem and dynamic methods
pdf.
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Torus centralizer of a coset space
pdf.
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Basics of reductivity and semisimplicity
pdf.
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Applications of Grothendieck's covering theorem
pdf.
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Nilpotence and unipotent groups
pdf.
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Structure of solvable groups
pdf.
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Root datum
pdf.
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Compactness and anisotropicity
pdf.
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Unirationality
pdf.
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Center and adjoint kernel
pdf.
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Root systems for classical groups
pdf.
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Simple isogeny factors
pdf.
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Geometric Bruhat decomposition
pdf.
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Tits systems
pdf.
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Relative Bruhat decomposition
pdf.
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Examples of relative roots
pdf.
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Reductive centralizer
pdf.
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Cartan's connectedness theorem
pdf.
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Examples of standard parabolic subgroups
pdf.
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The *-action
pdf.
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Relatve root groups and Tits systems
pdf.
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