Lie Group: Structure and Transformations

Related lectures (32)

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

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

Covers the properties of nilpotent Lie groups and the construction of non-degenerate alternating 2-forms.

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

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

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

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

Explores Lie algebra, Casimirs, and Poincaré in SO(3) transformations.

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

Covers the background on symplectic geometry, focusing on symplectic manifolds and canonical structures.