Lectures related to Group Theory: Reducible and Irreducible Representations

Explores orthogonality, irreducible representations, and symmetry properties in physics and group theory.

Explains the tensor product of representations in quantum physics and the properties of defined actions.

Groups: Definitions, Properties, and Homomorphisms

Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.

Lie Groups: Representations and Transformations

Explores Lie groups, scalar fields, and vector spaces transformations.

Diffie-Hellman Key Exchange

Explores the Diffie-Hellman key exchange protocol, covering computational challenges, subgroup issues, and key wrapping in RFC 2631.

Subsets and subgroups associated with an action

Explores subsets and subgroups related to group actions on sets.

Symmetries in Physics

Explores symmetries in physics through group theory, emphasizing how symmetries keep equations of motion unchanged.

Machine Learning at the Atomic Scale

Explores simple models, electronic structure evaluation, and machine learning at the atomic scale.