Representation Theory: Actions and Invariants

Related lectures (52)

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

Explores irreducible and reducible representations in group repetition theory and the lemma of Schur in quantum physics.

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

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Explores representations of C3v symmetry, character tables, Mulliken symbols, and group theory applications in eigenfunctions.

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

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

Covers Eisenstein series properties and spectral decomposition of functions.

Explores Lie groups, scalar fields, and vector spaces transformations.

Explores the Lie theorem and irreducible representations in group theory.

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

Covers the basis for irreducible representations and characters of direct product representations.

Covers the theory of time inversion operator and Lie groups, discussing the consequences of the Wigner theorem.

Explores the physical interpretation of the Schur lemma in quantum physics.

Explores orthogonality, irreducible representations, and symmetry properties in physics and group theory.

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

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

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

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

Introduces the Heisenberg groups, covering representation theory and unique properties.

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