| Communications in Mathematics |
Pavel Grozman - Invariant bilinear differential operators
cm:9341 - Communications in Mathematics, January 24, 2023, Volume 30 (2022), Issue 3 (Special issue: in memory of Arkady Onishchik) - https://doi.org/10.46298/cm.9341Invariant bilinear differential operatorsArticle
I classified bilinear differential operators acting in the spaces of tensor fields on any real or complex manifold and invariant with respect to the diffeomorphisms in 1980. Here I give the details of the proof.
Comment: 49 pages, LaTeX
Source: arXiv.org:math/0509562
Volume: Volume 30 (2022), Issue 3 (Special issue: in memory of Arkady Onishchik)
Published on: January 24, 2023
Accepted on: June 11, 2022
Submitted on: April 13, 2022
Keywords: Mathematics - Representation Theory, 53A55 (Primary) 53C20, 58A99 (Secondary)
Classifications
Mathematics Subject Classification 20201
- 17B15 - Representations of Lie algebras and Lie superalgebras, analytic theory
- 47F05 - General theory of partial differential operators
- 53A55 - Differential invariants (local theory), geometric objects
- 57R50 - Differential topological aspects of diffeomorphisms
- 58A10 - Differential forms in global analysis
- 58A30 - Vector distributions (subbundles of the tangent bundles)
- 58A40 - Differential spaces
- 58D05 - Groups of diffeomorphisms and homeomorphisms as manifolds
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