Adelic Number Theory

Related lectures (31)

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Explores Poincaré irreducible representations, Little Group, and induced representation in the context of momentum eigenstates.

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

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

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

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Covers the complete reducibility of complex representations and the relation between Lie algebras and Lie groups.

Explores molecular vibrations, normal modes, IR & Raman activity, and symmetry analysis.

Covers Lie groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.

Explores adelic topology, lattice representation, and strong approximation properties.

Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.