Lie algebra representation

Related lectures (32)

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Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.

Delves into Macdonald identities, covering affine root systems, modular forms, and Lie algebras.

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 groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.

Explores Lie algebra representations, emphasizing SU(2) and traceless matrices, explained by Alfredo Glioti.

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

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

Explores symmetry operations, isomorphic representations, and three-dimensional group representations.

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