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This article is cited in 9 scientific papers (total in 9 papers)
The groups of motions of some three-dimensional maximal mobility geometries
V. A. Kyrov, R. A. Bogdanova Gorno-Altaisk State University, Gorno-Altaisk, Russia
Abstract:
We find the groups of motions of eight three-dimensional maximal mobility geometries. These groups are actions of just three Lie groups $SL_2(R)\triangleright N$, $SL_2(C)_R$, and $SL_2(R)\otimes SL_2(R)$ on the space $R^3$, where $N$ is a normal abelian subgroup. We also find explicit expressions for these actions.
Keywords:
maximal mobility geometry, group of motions, Lie group, Lie algebra.
Received: 11.07.2017
Citation:
V. A. Kyrov, R. A. Bogdanova, “The groups of motions of some three-dimensional maximal mobility geometries”, Sibirsk. Mat. Zh., 59:2 (2018), 412–421; Siberian Math. J., 59:2 (2018), 323–331
Linking options:
https://www.mathnet.ru/eng/smj2982 https://www.mathnet.ru/eng/smj/v59/i2/p412
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Abstract page: | 224 | Full-text PDF : | 69 | References: | 27 | First page: | 3 |
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