From Quantum Planes to Quantum Groups and back; Cartan Calculus

Details From Quantum Planes to Quantum Groups and back; Cartan Calculus From Quantum Planes to Quantum Groups and back; Cartan Calculus

1993-12-10

arxiv.org/abs/hep-th/9312076v1

Physics

High Energy Physics

High Energy Physics - Theory

49 pages

Scientific paper

A Cartan Calculus of Lie derivatives, differential forms, and inner derivations, based on an undeformed Cartan identity, is constructed. We attempt a classification of various types of quantum Lie algebras and present a fairly general example for their construction, utilizing pure braid methods, proving orthogonality of the adjoint representation and giving a (Killing) metric and the quadratic casimir. A reformulation of the Cartan calculus as a braided algebra and its extension to quantum planes, directly and induced from the group calculus, are provided.

Affiliated with

Also associated with

No associations

Rating

From Quantum Planes to Quantum Groups and back; Cartan Calculus does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with From Quantum Planes to Quantum Groups and back; Cartan Calculus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From Quantum Planes to Quantum Groups and back; Cartan Calculus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-171761