A new look at the Schouten-Nijenhuis, Frölicher-Nijenhuis, and Nijenhuis-Richardson brackets
Abstract
In this paper we re-express the Schouten-Nijenhuis, the Frölicher-Nijenhuis, and the Nijenhuis-Richardson brackets on a symplectic space using the extended Poisson brackets structure present in the path-integral formulation of classical mechanics.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- April 2000
- DOI:
- arXiv:
- arXiv:hep-th/9907065
- Bibcode:
- 2000JMP....41.1916G
- Keywords:
-
- 45.05.+x;
- 45.10.-b;
- 45.20.-d;
- 02.30.Rz;
- 02.30.Sa;
- General theory of classical mechanics of discrete systems;
- Computational methods in classical mechanics;
- Formalisms in classical mechanics;
- Integral equations;
- Functional analysis;
- High Energy Physics - Theory;
- Mathematics - Symplectic Geometry
- E-Print:
- 27+1 pages, Latex, no figures