Jacobi Identity in Lie Algebra

Related lectures (30)

Page 1 of 3

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

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

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

Explores Lie groups, scalar fields, and vector spaces transformations.

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

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

Introduces Lie algebras, vector spaces with a special bracket operation.

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