Lectures related to Vector Fields

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

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

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

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.

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

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

Explores nilpotent Lie groups, their orbits, and adjoint actions, illustrating simplicity and form.

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

Explores the association of Lie algebras to algebraic groups and homomorphisms.