Siberian Mathematical Journal

, Volume 51, Issue 1, pp 1–11 | Cite as

Similarity of approximate transformation groups

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Abstract

We propose similarity conditions for isomorphic approximate transformation groups and their Lie algebras. The construction of similarity transformations reduces to solving systems of firstorder semilinear partial differential equations with small parameter. We consider the solvability of overdetermined systems of this type and the structure of their general solutions.

Keywords

approximate transformation group Lie algebra Lie algebra isomorphism 
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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Ufa State Aviation Technical UniversityUfaRussia

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