Jean-Pierre Magnot

collaborators

2 papers

math.DG2002

Structure groups and holonomy in infinite dimensions

Jean-Pierre Magnot

In this article, we give a theorem of reduction of the structure group of a principal bundle P with regular structure group G. Then, when G is in the classes of Lie groups defined…

math.OA2000

Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups

A. Cardona, C. Ducourtioux, J. P. Magnot +1

Using {\it weighted traces} which are linear functionals of the type $A \to t r^{Q} (A) := (t r (A Q^{- z}) - z^{- 1} t r (A Q^{- z}))_{z = 0}$ defined on the whole algebra of (classical) pseudo-d…