ar X iv : 0 80 8 . 39 43 v 1 [ m at h . A P ] 2 8 A ug 2 00 8 Conservation Laws and Non - Lie Symmetries
نویسنده
چکیده
We introduce a method to construct conservation laws for a large class of linear partial differential equations. In contrast to the classical result of Noether, the conserved currents are generated by any symmetry of the operator, including those of the non-Lie type. An explicit example is made of the Dirac equation were we use our construction to find a class of conservation laws associated with a 64 dimensional Lie algebra of discrete symmetries that includes CPT.
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2000 Mathematics Subject Classification. Primary 65D07; Secondary 11B68.
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