Homogeneous Spaces

Related lectures (32)

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

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

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Discusses separation criteria and quotient spaces in topology, emphasizing their applications and theoretical foundations.

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.