Vector Fields

Related lectures (32)

Page 3 of 4

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

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

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

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

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

Explores Einsteinian relativity, the Lorentz group, and Poincaré transformations, emphasizing proper and non-orthochronous components.

Explores divergence of vector fields, rotational definitions, and integral derivation applications.

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

Explores the differential of group actions on vector spaces and the behavior of orbit maps.

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