Noether identities of a generic differential operator. The Koszul-Tate complex
Sardanashvily, G.
arXiv, 0506103 / Harvested from arXiv
Text on arXiv
Given a generic Lagrangian system, its Euler-Lagrange operator obeys Noether identities which need not be independent, but satisfy first-stage Noether identities, and so on. This construction is generalized to arbitrary differential operators on a smooth fiber bundle. Namely, if a certain necessary and sufficient condition holds, one can associate to a differential operator the exact chain complex with the boundary operator whose nilpotency condition restarts all the Noether identities characterizing the degeneracy of an original differential operator.
Publié le : 2005-06-06
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  58A20,  58C50,  58J70 
@article{0506103,
     author = {Sardanashvily, G.},
     title = {Noether identities of a generic differential operator. The Koszul-Tate
  complex},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506103}
}

Sardanashvily, G. Noether identities of a generic differential operator. The Koszul-Tate
  complex. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506103/