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Invariant Operators of Five-Dimensional Nonconjugate Subalgebras of the Lie Algebra of the Poincaré Group P(1,4)

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  • Vasyl Fedorchuk
  • Volodymyr Fedorchuk

Abstract

We have classified all five-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4) into classes of isomorphic subalgebras. Using this classification, we have constructed invariant operators (generalized Casimir operators) for all five-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4) and presented them in the explicit form.

Suggested Citation

  • Vasyl Fedorchuk & Volodymyr Fedorchuk, 2013. "Invariant Operators of Five-Dimensional Nonconjugate Subalgebras of the Lie Algebra of the Poincaré Group P(1,4)," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-16, November.
    • Handle: RePEc:hin:jnlaaa:560178
    DOI: 10.1155/2013/560178
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