title: |
Symmetries of Modules of Differential Operators |
|
publication: |
||
| volume-issue: | 12 - 3 | |
| pages: | 348 - 380 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2005.12.3.4 (how to use a DOI) | |
author(s): |
H GARGOUBI, P MATHONET, V OVSIENKO |
|
publication date: |
August 2005 |
|
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: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
|
full text: |