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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 4, Pages 15–20
(Mi vmumm3509)
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This article is cited in 5 scientific papers (total in 5 papers)
Mathematics
The growth of the Lie algebra generated by two generic vector fields on the line
A. A. Kirillov, M. L. Kontsevich
Abstract:
The paper deals with a Lie algebra generated by two generic vector fields on a straight line. It is proved that this algebra has an intermediate growth (between a polynomial and an exponential growth). A hypothetical explicit formula is given for dimensions of homogeneous components.
Received: 07.12.1982
Citation:
A. A. Kirillov, M. L. Kontsevich, “The growth of the Lie algebra generated by two generic vector fields on the line”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 4, 15–20
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https://www.mathnet.ru/eng/vmumm3509 https://www.mathnet.ru/eng/vmumm/y1983/i4/p15
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Abstract page: | 229 | Full-text PDF : | 151 |
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