Lectures related to Schur Lemmas

Explores the proof of the existence of Sylow subgroups in group theory.

Delves into quantum mechanical rotations, discussing SU(2), SO(3), group representations, and topological properties.

Covers the basis for irreducible representations and characters of direct product representations.

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

Explores the Jarzynski equation and the quantization of electrical circuits in quantum harmonic oscillators.

Explores the CHSH inequality, a Bell-type inequality used in quantum mechanics and quantum key distribution.

Covers constructing tensor products of representations, finding correct bases for matrices, and the importance of symmetry in physics problems.

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

Covers the introduction of scattering amplitude, optical theorem, and unitary operators in quantum mechanics.