The Mathematical Footing of Non-associative Geometry

Details The Mathematical Footing of Non-associative Geometry The Mathematical Footing of Non-associative Geometry

1996-07-12

arxiv.org/abs/hep-th/9607094v2

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, LaTeX2e + AMS macros, revised version: modified definition of an ideal, because the old definition leads to a vanish

Scientific paper

Starting with a Hilbert space endowed with a representation of a unitary Lie algebra and an action of a generalized Dirac operator, we develop a mathematical concept towards gauge field theories. This concept shares common features with the non--commutative geometry a la Connes/Lott, differs from that, however, by the implementation of unitary Lie algebras instead of associative *-algebras. The general scheme is presented in detail and is applied to functions $\otimes$ matrices.

Affiliated with

Also associated with

No associations

Rating

The Mathematical Footing of Non-associative Geometry 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 The Mathematical Footing of Non-associative Geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Mathematical Footing of Non-associative Geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-186453