Lie Algebra: Casimirs and Poincaré

Related lectures (32)

Page 3 of 4

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

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

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

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

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

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

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

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

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

Covers the basics of Lie algebra and its applications in linear equations and Einstein tensor calculations.