Continuous subgroups of a generalized Euclidean group

V. I. Fushchich; A. F. Barannik; L. F. Barannik

doi:10.1007/bf01056758

journal article Jan 01, 1986

Continuous subgroups of a generalized Euclidean group

V. I. Fushchich A. F. Barannik L. F. Barannik

Ukrainian Mathematical Journal Vol. 38 No. 1 pp. 58-63 · Springer Science and Business Media LLC

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References

8

[1]

W. Miller, Symmetry and Separation of Variables [Russian translation], Mir, Moscow (1981).

[2]

V. I. Fushchich, ?Symmetry and particular solutions of certain multidimensional equations of mathematical physics,? in: Algebro-Theoretic Methods in Problems of Mathematical Physics [in Russian], Inst. Mat. Akad. Nauk UkrSSR, Kiev (1983), pp. 4?23.

[3]

A. G. Nikitin, V. I. Fushchich, and I. I. Yurik, ?Reduction of irreducible unitary representations of generalized Poincare groups by their subgroups,? Teor. Mat. Fiz.,28, No. 2, 206?220 (1976).

[4]

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). 10.1063/1.522729

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V. M. Fedorchuk, ?Splitting subalgebras of the Lie algebra, of the generalized Poincaré group P(1, 4),? Ukr. Mat. Zhurn.,31, No. 6, 717?722 (1979).

[6]

V. M. Fedorchuk, ?Nonsplitting Lie subalgebras of the generalized Poincaré group P(1, 4),? Ukr. Mat. Zh.,33, No. 5, 696?700 (1981).

[7]

J. Beckers, J. Patera, M. Perroud, and P. Winternitz, ?Subgroups of the Euclidean group and symmetry in nonrelativistic quantum mechanics,? J. Math. Phys.,18, No. 1, 72?83 (1977). 10.1063/1.523120

[8]

A. F. Brannik, L. F. Barannik, and Yu. D. Moskalenko, ?Continuous subgroups of the Euclidean group of a four-dimensional space,? in: Algebrotheoretic Methods in Problems of Mathematical Physics [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1983), pp. 119?123.

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Details

Published: Jan 01, 1986
Vol/Issue: 38(1)
Pages: 58-63
License: View

Authors

Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Repin Street 3, Kiev, USSR

Cite This Article

V. I. Fushchich, A. F. Barannik, L. F. Barannik (1986). Continuous subgroups of a generalized Euclidean group. Ukrainian Mathematical Journal, 38(1), 58-63. https://doi.org/10.1007/bf01056758

Continuous subgroups of a generalized Euclidean group

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