Kirillov Paradigm for Heisenberg Group

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

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

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

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.