Lie Groups and Lorentz Transformations

Related lectures (31)

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

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

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

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

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

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

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

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

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

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