Lectures related to Composition algebra

Explores group homomorphisms, constructing isomorphisms between groups using generators and relations.

Covers the introduction to categories, including definitions and examples.

Explains how systems are composed in parallel or series.

Explores Fermat's Theorem, factorization of integers, properties of Z[i], and Hurwitz quaternions.

Covers the proof of Lagrange Theorem and explores quaternions, prime numbers, and equations.

Covers the path integral representation of the propagator and Gaussian integrals in complex and multi-dimensional cases.

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