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Classification of maximal subalgebras of rank n of the conformal algebra AC(1, n)

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Abstract

We obtain a complete classification of I-maximal subalgebras of rank n of the conformal algebra AC(1, n).

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References

  1. V. I. Fushchich, L. F. Barannik, and A. F. Barannik, Subgroup Analysis of Galilei and Poincaré Groups and the Reduction of Nonlinear Equations [in Russian], Naukova Dumka, Kiev (1991).

    MATH  Google Scholar 

  2. L. V. Ovsyannikov, Group Analysis of Differential Equations [in Russian], Nauka, Moscow (1978).

    MATH  Google Scholar 

  3. V. I. Fushchich and A. F. Barannik, “Maximal subalgebras of rank n - 1 of the algebra AP(1, n) and the reduction of nonlinear wave equations. I,” Ukr. Mat. Zh., 42, No. 11, 1250–1256 (1990).

    Article  MathSciNet  Google Scholar 

  4. V. I. Fushchich and A. F. Barannik, “Maximal subalgebras of rank n - 1 of the algebra AP(1, n) and the reduction of nonlinear wave equations. II,” Ukr. Mat. Zh., 42, No. 12, 1693–1700 (1990).

    Article  MathSciNet  Google Scholar 

  5. A. F. Barannik, V. A. Marchenko, and V. I. Fushchich, “On the reduction and exact solutions of nonlinear multidimensional Schrödinger equations,” Teor. Mat. Fiz., 87, No. 2, 220–234 (1991).

    MathSciNet  Google Scholar 

  6. A. F. Barannik, L. F. Barannik, and V. I. Fushchich, “Reduction of a general wave equation to two-dimensional equations,” Ukr. Mat. Zh., 43, No. 10, 1311–1323 (1991).

    Article  MATH  MathSciNet  Google Scholar 

  7. M. S. Taufik, “On semisimple subalgebras of pseudounitary Lie algebras,” in: Geometric Methods in Problems of Algebra and Analysis [in Russian], Yaroslavl’ University, Yaroslavl’ (1980), pp. 86–115.

    Google Scholar 

  8. A. F. Barannik, L. F. Barannik, and V. I. Fushchich, “Connected subgroups of the conformai group C(l, 4),” Ukr. Mat. Zh., 43, Nos. 7-8, 870–884 (1991).

    MathSciNet  Google Scholar 

  9. N. Jacobson, Lie Algebras, Interscience Publishers, New York (1960).

    Google Scholar 

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Authors and Affiliations

  1. Pedagogic University, Slupsk, Poland

    A. F. Barannik

  2. Ukrainian State University of Food Technology, Kiev

    I. I. Yurik

Authors
  1. A. F. Barannik
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  2. I. I. Yurik
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 4, pp. 459–470, April, 1998.

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Barannik, A.F., Yurik, I.I. Classification of maximal subalgebras of rank n of the conformal algebra AC(1, n). Ukr Math J 50, 519–532 (1998). https://doi.org/10.1007/BF02487384

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  • DOI: https://doi.org/10.1007/BF02487384

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