Group Algebra: Maschke's Theorem

Related lectures (29)

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Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

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

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

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

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

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

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

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

Covers the isotopic decomposition of modules into simple components and their properties.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.