A new look at the Schouten-Nijenhuis, Frolicher-Nijenhuis, and Nijenhuis-Richardson brackets

Authors
Gozzi, E Mauro, D
Citation
E. Gozzi et D. Mauro, A new look at the Schouten-Nijenhuis, Frolicher-Nijenhuis, and Nijenhuis-Richardson brackets, J MATH PHYS, 41(4), 2000, pp. 1916-1933
Citations number
10
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
4
Year of publication
2000
Pages
1916 - 1933
Database
ISI
SICI code
0022-2488(200004)41:4<1916:ANLATS>2.0.ZU;2-C
Abstract
In this paper we re-express the Schouten-Nijenhuis, the Frolicher-Nijenhuis , and the Nijenhuis-Richardson brackets on a symplectic space using the ext ended Poisson brackets structure present in the path-integral formulation o f classical mechanics. (C) 2000 American Institute of Physics. [S0022-2488( 00)02502-0].