Mathematics – Differential Geometry
Scientific paper
2002-05-27
Mathematics
Differential Geometry
29 pages, uses smfart.cls, smfthm.sty, bull.sty
Scientific paper
We consider the space of tensor densities on the n-dimensional sphere with degree lambda (or, equivalently, of conformal densities with degree lambda). This space is a module over the group of diffeomorphisms, and consequently over the Lie algebra of vector fields, on the sphere, and we first prove that as a module over the conformal group, it is infinitesimally equivalent to an induced module from the principal series, precisely from the nonunitary spherical series on the space of smooth functions on the sphere. In function of lambda,(g,K)-simple and unitary submodules of the space of tensor densities are therefore classified.
No associations
LandOfFree
Representations de l'algebre de Lie conforme sur l'espace des densites tensorielles sur la sphere 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 Representations de l'algebre de Lie conforme sur l'espace des densites tensorielles sur la sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representations de l'algebre de Lie conforme sur l'espace des densites tensorielles sur la sphere will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-397178