Nilpotent Lie Groups

Related lectures (31)

Page 3 of 4

Explores integral curves on manifolds and the significance of the exponential map in Lie groups.

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

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

Explores the unique determination of homomorphisms by differentials and the intersection of closed subgroups' Lie algebras.

Explores Lie algebra, Casimirs, and Poincaré in SO(3) transformations.

Explores Borcherds' proof strategy for monstrous moonshine and Lie superalgebras.

Covers dynamical systems on homogeneous spaces and their interactions with number theory.

Introduces the concept of the adjoint representation in Lie algebras.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.