Lectures related to Unitary Minimal Models: Representation Theory Insights

Covers the applications of Segal's Conformal Field Theory in Hilbert spaces.

Covers singular vectors in Liouville CFT, focusing on representation theory and their implications in mathematical physics.

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

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

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

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Explores the matrix representation of operators and basis transformation in linear algebra.

Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.

Explores vector spaces, linear transformations, matrices, eigenvalues, inner products, and operators.

Explains the postulates of quantum mechanics and the representation of observables by operators.

Explores the application of linear algebra in Quantum Mechanics, emphasizing its importance in understanding materials properties.

Explores the theory of bounded operators on Hilbert space, including adjoint properties and self-adjointness.

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

Explores the Stone-von Neumann Theorem and unitary operators on Hilbert spaces.

Covers the axioms of quantum mechanics and the measurement of quantities in a quantum system.

Explores unitary operators for translation and transformation in quantum mechanics.

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

Offers a crash course on quantum mechanics, covering vector spaces, superposition, observables, and self-adjoint operators.

Explores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.

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