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Discusses linearly reductive groups and their properties, focusing on completely reducible representations and equivalent modules.
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Covers the concept of connected components in linear algebraic groups and their relationship to singular groups.
Explores the concept of diagonalizable groups and their properties in linear algebraic groups.
Explores a criterion for computing quotients in algebraic geometry, emphasizing the importance of normality and g-invariant morphisms.
Delves into the geometrical properties of quotients by linearly reductive groups, emphasizing the uniqueness of closed orbits and the concept of a geometric quotient.
