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Maximal subalgebras of rank n −1 of the algebra AP(1, n) and reduction of nonlinear wave equations. I

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Abstract

The concept of canonical decomposition of an arbitrary subalgebra of the algebraAO(1,n) is introduced. With the help of this decomposition all maximal subalgebras L of rankn−1 of the algebraAP(1,n), satisfying the conditionL ∩V=<P1,...;P n>, whereV=<P 0,P 1,...,P 1> is the space of translation are described.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev

    V. I. Fushchich & A. F. Barannik

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  1. V. I. Fushchich
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  2. A. F. Barannik
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 11, pp. 1552–1559, November, 1990.

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Fushchich, V.I., Barannik, A.F. Maximal subalgebras of rank n −1 of the algebra AP(1, n) and reduction of nonlinear wave equations. I. Ukr Math J 42, 1394–1402 (1990). https://doi.org/10.1007/BF01066198

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  • DOI: https://doi.org/10.1007/BF01066198

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