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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 1, Pages 3–15 (Mi smj2061)  
Similarity of approximate transformation groups

R. K. Gazizov, V. O. Lukashchuk

Ufa State Aviation Technical University, Ufa
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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.
Received: 09.09.2008
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 1, Pages 1–11
DOI: https://doi.org/10.1007/s11202-010-0001-z
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: R. K. Gazizov, V. O. Lukashchuk, “Similarity of approximate transformation groups”, Sibirsk. Mat. Zh., 51:1 (2010), 3–15; Siberian Math. J., 51:1 (2010), 1–11
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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