Noether's Theorems by Gennadi Sardanashvily

Author:Gennadi Sardanashvily
Language: eng
Format: epub
Publisher: Atlantis Press, Paris

Accordingly, nontrivial NI modulo the trivial ones are associated to elements of the first homology of the complex (7.7). A graded Lagrangian L is called degenerate if there exist nontrivial NI.

Nontrivial NI can obey first-stage NI. In order to describe them, let us assume that the module is finitely generated. Namely, there exists a graded projective -module of finite rank possessing a local basis :

(7.10)

such that any element factorizes as

(7.11)

through elements (7.10) of . Thus, all nontrivial NI (7.9) result from NI

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