Lie group

Related lectures (30)

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

Explores Lie groups, scalar fields, and vector spaces transformations.

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

Covers the theory of time inversion operator and Lie groups, discussing the consequences of the Wigner theorem.

Introduces Lie algebras, vector spaces with a special bracket operation.

Explores Bernoulli and K properties in smooth dynamics, including equivalence, examples, and implications.

Explores Lie groups SU(2) and SO(3), emphasizing their mathematical properties and significance in physics.

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

Explores the properties of the exponential map in Lie groups and algebras.

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