Lie Groups: SU(2) and SO(3)

Related lectures (30)

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

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

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

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

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

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

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

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.

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