Hilpot Liegr: Understanding Nilpotent Lie Groups

Related lectures (32)

Page 3 of 4

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

Introduces the concept of the adjoint representation in Lie algebras.

Explores Lie groups, their structure, and applications in transformations.

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

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

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

Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.

Explores gauge symmetries in quantum field theory, emphasizing invariance under transformations and the role of ghost fields.

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

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