Macdonald identities

Related lectures (32)

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Explores the classification and properties of simple complex Lie algebras, emphasizing their connection with Lie groups.

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

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

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

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

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

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

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

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

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