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Linear and nonlinear representations of Galilei groups in two-dimensional space-time

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Abstract

We study Galilei groups represented as groups of Lie transformations in the space of two independent variables and one dependent variable. We classify the representations of the groups A G 1(1,1), A G 2(1,1), A G 3(1,1), A ~G 1 (1,1), A ~G 2 (1,1), and A ~G3(1,1) in the class of Lie vector fields.

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Authors and Affiliations

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

    V. I. Fushchich & V. I. Lagno

Authors
  1. V. I. Fushchich
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  2. V. I. Lagno
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Deceased.

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 3, pp. 414–423, March, 1998.

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Fushchich, V.I., Lagno, V.I. Linear and nonlinear representations of Galilei groups in two-dimensional space-time. Ukr Math J 50, 470–480 (1998). https://doi.org/10.1007/BF02528811

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  • DOI: https://doi.org/10.1007/BF02528811

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