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Invariant operators of four-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4)

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The classification of four-dimensional nonconjugate subalgebras of the Lie algebra of the Poincare group P(1, 4) into classes of isomorphic subalgebras is performed. Using this classification, we construct invariant operators (generalized Casimir operators) [30] for all four-dimensional nonconjugate subalgebras of the Lie algebra of the group P(1, 4) and present them in the explicit form.

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Authors and Affiliations

  1. Institute of Mathematics, National Education Commission Pedagogic University, Krakow, Poland

    V. M. Fedorchuk

  2. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    V. M. Fedorchuk & V. I. Fedorchuk

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  1. V. M. Fedorchuk
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  2. V. I. Fedorchuk
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 53, No. 4, pp. 17–27, October–December, 2010.

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Fedorchuk, V.M., Fedorchuk, V.I. Invariant operators of four-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4). J Math Sci 181, 305–319 (2012). https://doi.org/10.1007/s10958-012-0686-6

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