Lie Algebra: Bilinearity and Jacobi Identity

Related lectures (28)

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

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

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Covers the theory and applications of bilinear forms in various mathematical contexts.

Explores the differential of group actions on vector spaces and the behavior of orbit maps.

Explores multilinear forms in linear algebra, emphasizing their properties and applications.

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

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

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

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