Concept

Group representation

Related lectures (32)

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

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

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

Covers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.

Covers the application of group representations theory in quantum physics.

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

Covers the tensor product of representations, combining group representations to form new ones.

Explores k-fold degenerate sets of eigenfunctions and their basis for irreducible representations.

Explores the theory of representation of groups and the concept of complete reducibility.

Covers conformal blocks and their significance in complex structures and moduli spaces.

Explores trajectories and isoclines in mechanical systems using phase plans and different representation methods.

Explores subrepresentations of the regular representation in group theory, emphasizing properties and isomorphism between subrepresentations.

Explores the Monster group, a sporadic simple group with a unique representation theory.

Introduces the Simplex Method for optimal decision making in linear programming, covering basic and advanced concepts.

Covers the interpretation of the Lindblad equation and its unitary part in quantum gases.

Explores risk analysis, consequences, representation, and health impacts in civil engineering.

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

Explores the Wigner theorem and time inversion in group theory.

Explores McKay graphs for finite subgroups of SU(2) and the corresponding Coxeter graphs.

Explains orthogonality and characters in group representations, including equivalence classes and vector space dimensions.