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On the tensor product of irreducible unitary representations of an inhomogene ous de Sitter group

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Literature cited

  1. M. A. Naimark, “Decomposition of the teusor product of irreducible representations of a characteristic Lorentz group into irreducible representations,” Trudy Matem. O-va,8 (1959).

  2. J. S. Lomont, “Decomposition of direct products of representations of inhonaogeneous Lorentz group,” J. Math. Phys.,4, No. 1, 237–243 (1960).

    Google Scholar 

  3. L. Pukanszky, “On the Kronecker product of irreducible unitary representations of the inhomogeneous Lorentz group,” J. Math. Mechanics,10, No. 3, 475–491 (1961).

    Google Scholar 

  4. V. I. Fushchich, “Representations of a nonhomogeneous complete de Sitter group and equations in the five-dimensional approach,” Teor. i Matem. Fiz.,4, No. 3 (1970).

  5. N. Ya. Vilenkin, Special Functions and the Theory of Group Representations [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  6. D. P. Zhelobenko, Compact Lie Groups and Their Representations [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  7. L. Mischet and M. Schaif, Symmetry in Quantum Physics [Russian translation], Mir, Moscow (1974).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 4, pp. 564–568, July–August, 1975.

In conclusion, the author expresses his gratitude to V. I. Fushchich for constant help in the article.

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Yurik, I.I. On the tensor product of irreducible unitary representations of an inhomogene ous de Sitter group. Ukr Math J 27, 467–471 (1975). https://doi.org/10.1007/BF01085601

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  • DOI: https://doi.org/10.1007/BF01085601

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