Completely Reducible Representations

Related lectures (32)

Page 2 of 4

Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.

Explores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.

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

Covers the representation theory of unitary minimal models and the Virasoro algebra.

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

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

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

Introduces Noetherian modules and explores simple modules and composition series.

Explores chain conditions in module theory, emphasizing Noetherian modules and stabilizing sequences of submodules.

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