Lecture
Representation Theory: Algebras and Homomorphisms
Description
This lecture introduces the goals and motivations of representation theory, focusing on associative algebras, homomorphisms, and representations. It covers the classification of symmetries, linearization of groups, and representations of group algebras. Examples include the dihedral group algebra. The lecture also discusses the definitions of associative algebras, homomorphisms, and irreducible representations, emphasizing the direct sum of representations.
Official source
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