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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2007, Volume 7, Issue 4, Pages 74–88
(Mi vngu273)
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The Lie commutators on the space of the smooth functions from R1 to R2
M. V. Neshchadim Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
In this paper we consider the classification problem of the local algebras Lie on the space C∞(Rn,Rm). For n=1, m=2 and the symmetry analytical Lie commutators of the first order we obtain full classification under the module of the action of the group GL2(F), where F is the space analytical functions from one variable.
Received: 20.10.2006
Citation:
M. V. Neshchadim, “The Lie commutators on the space of the smooth functions from R1 to R2”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 7:4 (2007), 74–88
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https://www.mathnet.ru/eng/vngu273 https://www.mathnet.ru/eng/vngu/v7/i4/p74
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Abstract page: | 158 | Full-text PDF : | 55 | References: | 49 | First page: | 1 |
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