Lectures related to Singular Vectors in Liouville CFT: Representation Theory Insights

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

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

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

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

Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Explores linear dependence and independence of vectors in geometric spaces.

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

Covers the properties and criteria of linear dependence and independence in a vector space.

Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.

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

Explores vector spaces, linear independence, and spanning sets in linear algebra.

Explores vector space properties, operations, linear combinations, and subspaces construction.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Covers the Easing model conformal theory, focusing on scaling limits and correlation functions.

Explains linear independence, basis, and matrix rank with examples and exercises.

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Covers linear independence, bases, change of basis, and vector representation.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.