Geodesic
Group structure and the basis of conservation laws
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 244-251

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The derivation of conservation laws for invariant variational problems is based on Noether's identity. It is shown that this identity also makes it possible to establish a connection between a basis of conservation laws (with respect to the group $G$ admitted by the considered system of differential equations) and the structure of the Lie algebra of $G$. This provides a justifieation for the basis construction scheme proposed by Ibragimov. 
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     author = {R. S. Khamitova},
     title = {Group structure and the basis of conservation laws},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {244--251},
     publisher = {mathdoc},
     volume = {52},
     number = {2},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a8/}
}
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R. S. Khamitova. Group structure and the basis of conservation laws. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 244-251. http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a8/