Skip to main content
Log in

Splitting subalgebras of the lie algebra of the generalized poincaré group P(1, 4)

  • Published:
Ukrainian Mathematical Journal Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. V. I. Fushchich, “The representations of the complete nonhomogeneous de Sitter group and the equations in the five-dimensional approach,” Teor. Mat. Fiz.,4, No. 3, 360–382 (1970).

    Google Scholar 

  2. V. I. Fushchich and I. Yu. Krivsky, “On a possible approach to the variable mass problem,” Nucl. Phys.,7, No. 1, 79–82 (1968).

    Google Scholar 

  3. V. I. Fushchich and I. Yu. Krivsky, “On representations of the inhomogeneous de Sitter group and equations in five-dimensional Minkowski space,” Nucl. Phys.,14, No. 3, 573–585 (1969).

    Google Scholar 

  4. V. I. Fushchich, “On a motion equation for two particles in relativistic quantum mechanics,” Lett. Nuovo Cimento,10, No. 4, 163–168 (1974).

    Google Scholar 

  5. J. Patera, P. Winternitz, and H. Zassenhaus, “Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group,” J. Math. Phys.,16, No. 8, 1597–1614 (1975).

    Google Scholar 

  6. J. Patera, P. Winternitz, and H. Zassenhaus, “Quantum numbers for particles in de Sitter space,” J. Math. Phys.,17, No. 5, 717–727 (1976).

    Google Scholar 

  7. J. Patera, R. T. Sharp, P. Winternitz, and H. Zassenhaus, “Continuous subgroups of the fundamental groups of physics. III. The de Sitter groups,” J. Math. Phys.,18, No. 12, 2259–2288 (1977).

    Google Scholar 

  8. V. M. Fedorchuk, “Continuous subgroups of the inhomogeneous de Sitter group P(1,4),” Preprint 78.18 Math. Inst. Akad. Nauk Ukr. SSR, Kiev (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 31, No. 6, pp. 717–722, November–December, 1979.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fedorchuk, V.M. Splitting subalgebras of the lie algebra of the generalized poincaré group P(1, 4). Ukr Math J 31, 554–558 (1979). https://doi.org/10.1007/BF01092537

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01092537

Navigation