Semisimple Lie algebra

Related lectures (32)

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

Covers the classical Lie algebras, focusing on calculations and dimensions.

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

Covers the Weil representation, Heis operators, Stone-Neumann theorem, unitary operators, Lie algebra structure, and symplectic form.

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

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

Covers the Lie algebra of the Lorentz group, focusing on boosts, rotations, and transformations.

Covers central results in Hermite forms and principal series representations in group theory.

Delves into the Jordan decomposition in Lie algebras of linear algebraic groups.

Explains vector fields as derivations and their algebraic structure in Lie algebra.

Covers exercises on Schur's lemma and the Jacobi identity in Quantum Field Theory.

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

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