Decomposition of Group Algebras

Related lectures (32)

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

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

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

Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.

Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.

Covers the properties of finite dimensional algebras and non-semisimple representations.

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

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