Representation of Groups

Related lectures (30)

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

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Explains the concept of generators of groups and their mathematical properties.

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

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

Explores symmetry operations, isomorphic representations, and three-dimensional group representations.

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