Mathematics – Differential Geometry
Scientific paper
1998-06-26
Mathematics
Differential Geometry
26 pages, LaTeX
Scientific paper
Measuring comodules are defined and shown to provide a useful generalization of the set of maps between modules with a broad range of applications. Three applications are described. Connections on bundles are described in terms of measuring comodules, enabling curvature to be defined under general algebraic circumstances. Loop algebras are realized via a short exact sequence of measuring comodules, with the central extension given by the curvature. Finally dual comodules provide a method of dualizing representations, which, when applied to representations of loop algebras yield positive energy representations, and when applied to representations of totally disconnected groups leads to the smooth dual.
No associations
LandOfFree
Measuring comodules - their applications 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 Measuring comodules - their applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Measuring comodules - their applications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-259783