Noether identities of a generic differential operator. The Koszul-Tate complex

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dc.creatorSardanashvily, G.
dc.date2005-06-06
dc.date2005-06-09
dc.date.accessioned2026-07-07T06:21:37Z
dc.date.available2026-07-07T06:21:37Z
dc.descriptionGiven 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.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0506103
dc.identifierhttp://arxiv.org/abs/math/0506103
dc.identifierInt.J.Geom.Methods Mod.Phys., v.2 (2005) 873-886
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95654
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject58A20; 58C50; 58J70
dc.titleNoether identities of a generic differential operator. The Koszul-Tate complex
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