Article (Scientific journals)
Symmetries of modules of differential operators
Gargoubi, Hichem; Mathonet, Pierre; Ovsienko, Valentin
2005In Journal of Nonlinear Mathematical Physics, 12 (3), p. 348-380
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Keywords :
Differential operator; Tensor Density; Symmetry
Abstract :
[en] Let F_lambda(S^1) be the space of tensor densities of degree (or weight) lambda on the circle S^1. The space D_lambda,mu(k)(S^1) of k-th order linear differential operators from F_lambda(S^1) to F_mu(S^1) is a natural module over Diff(S^1), the diffeomorphism group of S^1. We determine the algebra of symmetries of the modules D_lambda,mu(k)(S^1), i.e., the linear maps on D_lambda,mu(k)(S^1) commuting with the Diff(S^1)-action. We also solve the same problem in the case of straight line R (instead of S^1) and compare the results.
Disciplines :
Physics
Author, co-author :
Gargoubi, Hichem;  IPEIM
Mathonet, Pierre ;  Université de Liège - ULiège > Département de mathématique > Département de mathématique
Ovsienko, Valentin;  CNRS Université Claude Bernard - Lyon 1 - UCLB > Institut Griard Desargues
Language :
English
Title :
Symmetries of modules of differential operators
Publication date :
August 2005
Journal title :
Journal of Nonlinear Mathematical Physics
ISSN :
1402-9251
Publisher :
Atlantis Press
Volume :
12
Issue :
3
Pages :
348-380
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 16 May 2011

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