Lectures related to Quantization: Topological Operators

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

Covers the reduction of a linear application and finding corresponding reduced forms and bases.

Covers the principles of quantum mechanics, including the Measurement Principle and Max Born Rule.

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

Covers the theorems related to orthogonal projection and orthonormal bases.

Covers the basics of linear algebra, including matrix operations and singular value decomposition.

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

Covers the norm of a matrix, operator, singular values, and unitary matrices in linear algebra.

Introduces vector spaces, bases, and the Hilbert space, highlighting the practical implications of defining a basis in a vector space.