Lectures related to Stanley symmetric function

Explores subspaces, approximation problems, and least-squares approximation methods.

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

Advanced Analysis II: Sequences and Integrals

Explores sequences, integrals, symmetrical functions, differential equations, and the Cauchy problem in advanced analysis.

Linear Approximations: Development Order 2

Covers linear approximations up to order 2 and the Hessian matrix.

Kernel Methods: RKHS and Kernels

Explores RKHS, positive definite kernels, and the Moore-Aronszajn theorem in kernel methods.

Group representations constructions

Explores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.

G-modules and G-varieties

Explores the embedding of chi-varieties into vector spaces with linear actions.