Geometric quantities associated to differential operators

Mathonet, Pierre

doi:10.1080/00927870008826853

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Geometric quantities associated to differential operators

Mathonet, Pierre

2000 • In Communications in Algebra, 28 (2), p. 699-718

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https://hdl.handle.net/2268/91324

DOI
10.1080/00927870008826853

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Keywords :

Differntial operator; Tensor density; Module over vector fields

Abstract :

[en] Denote by F_lambda the space of fields of tensor densities of weight -lambda over a manifold M. The space D^p_{lambda,mu} of differential operators of order at most p that map F_lambda onto F_mu are modules over the Lie algebra of vector fields Vect(M). We compute all the Vect(M)-invariant mappings from D^p_{lambda,mu} onto F_nu.

Disciplines :

Mathematics

Author, co-author :

Mathonet, Pierre ; Université de Liège - ULiège > Département de mathématique > Département de mathématique

Language :

English

Title :

Geometric quantities associated to differential operators

Publication date :

2000

Journal title :

Communications in Algebra

ISSN :

0092-7872

eISSN :

1532-4125

Publisher :

Taylor & Francis Ltd

Volume :

Issue :

Pages :

699-718

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 18 May 2011

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