Lie Groups: Representations and Transformations

Related lectures (27)

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Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

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

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

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

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Covers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.