18.739 Theory of Invariants
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.
This class counts for a total of 12 credits. This is a graduate-level class.
You can find more information at the http://www.google.com/search?&q=MIT+%2B+18.739&btnG=Google+Search&inurl=https site.
© Copyright 2015 Yasyf Mohamedali