Casamir operators; Classification; Equivariant symbol calculus; Modules of differential operators
Abstract :
[en] We prove the existence and uniqueness of a projectively equivariant symbol map (in the sense of Lecomte and Ovsienko) for the spaces D_p of differential operators transforming p-forms into functions, over R^n. As an application, we classify the Vect(M)-equivariant maps from D_p to D_q over a smooth manifold M, recovering and improving earlier results of N. Poncin. This provides the complete answer to a question raised by P. Lecomte about the extension of a certain intrinsic homotopy operator.
Disciplines :
Mathematics
Author, co-author :
Boniver, Fabien; Université de Liège - ULiège > Département de Mathématique > Département de Mathématique
Hansoul, Sarah ; Université de Liège - ULiège > Département de Mathématique > Département de Mathématique
Mathonet, Pierre ; Université de Liège - ULiège > Département de mathématique > Département de mathématique
Poncin, Norbert; Centre Universitaire de Luxembourg > Département de Mathématiques
Language :
English
Title :
Equivariant symbol calculus for differential operators acting on forms
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