Journal of Nonlinear Mathematical Physics

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Volume 12, Issue 3, August 2005, Pages 348 - 380

Symmetries of Modules of Differential Operators

Authors
H. Gargoubi, P. Mathonet, V. Ovsienko
Corresponding Author
H. Gargoubi
Received 3 June 2004, Accepted 1 December 2004, Available Online 1 August 2005.
DOI
10.2991/jnmp.2005.12.3.4How to use a DOI?
Abstract

Let F(S1 ) be the space of tensor densities of degree (or weight) on the circle S1 . The space Dk ,µ(S1 ) of k-th order linear differential operators from F(S1 ) to Fµ(S1 ) is a natural module over Diff(S1 ), the diffeomorphism group of S1 . We determine the algebra of symmetries of the modules Dk ,µ(S1 ), i.e., the linear maps on Dk ,µ(S1 ) commuting with the Diff(S1 )-action. We also solve the same problem in the case of straight line R (instead of S1 ) and compare the results.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - 3
Pages
348 - 380
Publication Date
2005/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.3.4How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - H. Gargoubi
AU  - P. Mathonet
AU  - V. Ovsienko
PY  - 2005
DA  - 2005/08/01
TI  - Symmetries of Modules of Differential Operators
JO  - Journal of Nonlinear Mathematical Physics
SP  - 348
EP  - 380
VL  - 12
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.3.4
DO  - 10.2991/jnmp.2005.12.3.4
ID  - Gargoubi2005
ER  -