18.739 Theory of Invariants

Class Info

Hilbert's finiteness theorem for reductive groups. Properties of the orbits and the orbit space. Classical invariant theory. Hilbert-Mumford-Richardson theorem. Rosenlicht's theorem on the existence of invariants. Matsushima criterion. Richardson's theorem on the principal stabilizer. Chevalley-Luna-Richardson theorem. Linear actions with a non-trivial stabilizer. Polar representations. Methods of the orbit classification. Applications to classical problems of linear algebra. Other topics.

This class has 18.705 as a prerequisite.

18.739 will not be offered this semester. It will be instructed by .

This class counts for a total of 12 credits. This is a graduate-level class.

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