Symmetry: Noether Theorem

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Explores associativity, Lie algebra, Lie groups, relativity, and symmetry preservation in quantum field theory.

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

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

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

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.

Explores the modern definition of symmetry and its practical applications.

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

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

Introduces Lie algebras, vector spaces with a special bracket operation.