On functional bases of the first-order differential invariants for non-conjugate subgroups of the Poincaré group $P(1,4)$

V.M. Fedorchuk, V.I. Fedorchuk

Abstract


It is established which functional bases of the first-order differential invariants of the splitting and non-splitting subgroups of the Poincaré group $P(1,4)$ are invariant under the subgroups of the extended Galilei group $\widetilde G(1,3) \subset P(1,4)$. The obtained sets of functional bases are classified according to dimensions.

Mathematics Subject Classification


2000 Mathematics Subject Classification: 17B05, 17B81

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