Lie Groups: Representations and Transformations

Related lectures (27)

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Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

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

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

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

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

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

Explores Lorentz invariance, tensors in vector spaces, and electromagnetic potentials.