Lectures related to Group Repetition Theory: Character Representations

Explores irreducible and reducible representations in group repetition theory and the lemma of Schur in quantum physics.

Explores irreducible representations of the rotations group and their mathematical properties.

Covers the application of group representations theory in quantum physics.

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Covers the transformation of vectors and tensors in quantum physics.

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

Covers group actions, conjugacy classes, centralizers, direct products, and finite abelian groups.

Demonstrates the existence of p-Sylow subgroups in any finite group using induction and the abelian case.

Explores finitely generated abelian groups, focusing on their structure and isomorphism theorems.

Explores the concept of torsion in group theory, focusing on its Hom functoriality and its role in exact sequences.

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Explores quantum physics concepts related to identical fermions and bosons.

Explores Schur Lemmas, group representations, and stability properties in group theory.