Projectors and Tensor Product of Representations

Character of Dirac and Projectors

Discusses Dirac's character and projectors in high-dimensional spaces with matrices and vectors.

Tensor Product: Bilinear Maps

Covers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.

Tensor Products of Modules

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Projectors on Invariant Subspaces

Covers projectors on invariant subspaces in quantum physics and their applications.

Tensors: Motivations and Introduction

Covers the basics of tensors, including their definition, properties, and decomposition, starting with a motivating example involving Gaussian distributions.