Lie Algebra: Representations

Related lectures (30)

Page 2 of 3

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

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

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

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

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

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

Covers ideals, representations, modules, and maximal ideals in associative algebras.

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