The Weil Representation: Part 2

Related lectures (32)

Page 2 of 4

Explores G-objects in a concrete category and the framework for group actions.

Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.

Covers the Weil representation, Heis operators, Stone-Neumann theorem, unitary operators, Lie algebra structure, and symplectic form.

Explores canonical transformations, symplectic matrices, and the concept of identity in matrix space.

Explores canonical transformations, symplectic groups, real matrices, preserved quantities, and volumes in phase space.

Covers defining group actions on products and constructing automorphisms in group theory.

Covers the theory of periodic orbits of Hamiltonian systems and the Conley-Zehnder index.

Explores group actions on varieties, including orbits, stabilizers, and G-invariant morphisms.

Explores the construction of the free action functor and its equivariance.

Explores actions on products in group theory, including automorphism construction and preservation of products.