Quotients: Geometrical Properties

Related lectures (30)

Explores the differential of group actions on vector spaces and the behavior of orbit maps.

Introduces the regular representation, a key tool for studying group actions on varieties.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Explores linear projective groups, quaternions, subgroup generation, and normality.

Covers the isotopic decomposition of modules into simple components and their properties.

Explores the embedding of chi-varieties into vector spaces with linear actions.

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

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