Simple Lie Algebras: Classification and Properties

Related lectures (31)

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

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

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

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

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

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

Covers Lie algebra, bilinearity, Jacobi identity, and Ado's theorem.

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