Lectures related to Symmetry in Quantum Field Theory

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Explores Einsteinian relativity, the Lorentz group, and Poincaré transformations, emphasizing proper and non-orthochronous components.

Covers Lie algebra, group representations, symmetry groups, and Schur's lemma in the context of symmetry and group operations.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

Covers Lie theorems, group algebra, Ado's theorem, and spacetime symmetries.

Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.

Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.

Covers Lie Algebra, focusing on vector space and multiplication law.

Explores the significance of the Jacobi identity in Lie algebra and its impact on linear vector spaces.

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

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Introduces special and general relativity, Einstein equations, and gravitational dynamics.

Explores Lie algebra, Casimirs, and Poincaré in SO(3) transformations.

Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.

Introduces the basics of group theory, including operations, properties, and Lie groups.

Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.

Covers Lie groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.

Covers the complete reducibility of complex representations and the relation between Lie algebras and Lie groups.

Covers the properties of nilpotent Lie groups and the construction of non-degenerate alternating 2-forms.