Lectures related to Orthogonality and Characters

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

Explores the Lie theorem and irreducible representations in group theory.

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Explores group representations using matrices, discussing reducible vs. irreducible representations and the Great Orthogonality Theorem.

Discusses the theory of free groups, their properties, and relationships with other algebraic structures.

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Covers the concepts of group characters, representations, and character tables.

Explains group representation, character, and theory, emphasizing orthogonality and equivalence.

Explores geometric quantization in representation theory, focusing on SO3(R) acting on R³ and homogenous polynomials.