Noether identities of a generic differential operator. The Koszul-Tate complex
微分几何
2007-05-23 v2 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0506103,
title = {Noether identities of a generic differential operator. The Koszul-Tate complex},
author = {G. Sardanashvily},
journal= {arXiv preprint arXiv:math/0506103},
year = {2007}
}
备注
14 pages