Lie Algebra Representation

Related lectures (31)

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Covers the transformation properties of vector fields and their representation in Lorentz tensors.

Explores Lie algebra representations, emphasizing SU(2) and traceless matrices, explained by Alfredo Glioti.

Explores the differential of group actions on vector spaces and the behavior of orbit maps.

Explores weight space decomposition and proves that a connected linear algebraic group with all semi-simple elements must be a torus.

Covers Quantum Electrodynamics (QED), instantons, Feynman rules, and gauge theories in modern particle physics.

Covers relativistically normalized states, Lorentz invariance, and scalar field representations in quantum field theory.

Covers the most general representation of Lorentz group on spinorial fields.

Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Explores Lorentz transformations, particle creation through momentum, and the Poincaré group.