Lectures related to Group Repetition Theory: Character Representations

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.