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Automorphisms of uniform lattices of nilpotent Lie groups up to dimension four
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In this paper, when $G$ is a connected and simply connected nilpotent Lie group of dimension less than or equal to four, we study the uniform lattices $\Gamma$ of $G$ up to isomorphism and then we study the structure of the automorphism group $\aut(\Gamma)$ of $\Gamma$ from the viewpoint of splitting as a natural extension.
Abstract
In this paper, when $G$ is a connected and simply connected nilpotent Lie group of dimension less than or equal to four, we study the uniform lattices $\Gamma$ of $G$ up to isomorphism and then we study the structure of the automorphism group $\aut(\Gamma)$ of $\Gamma$ from the viewpoint of splitting as a natural extension.
참고문헌 (7)
- K. Dekimpe, "Almost-Bieberbach groups: affine and polynomial structures", Lecture Notes in Mathematics, 1639 (1996), Springer-Verlag[DOI]
- K. Y. Ha, "Left invariant metrics and curvatures on simply connected threedimensional Lie groups", Math. Nachr, 282(6), pp.868~898 (2009)[DOI]
- P. J. Kahn, "Automorphisms of the discrete Heisenberg groups", ~
- 이종범, "Unimodular groups of type $\mathbb R^3\rtimes \mathbb R$", 대한수학회지, 44(5), pp.1121~1137 (2007), 대한수학회
- D. V. Osipov, "The discrete Heisenberg group and its automorphism group", Math. Notes, 98(1-2), pp.185~188 (2015)
- S. V. Thuong, "Metrics on 4-dimensional unimodular Lie groups", Ann. Global Anal. Geom, 51(2), pp.109~128 (2017)[DOI]
- S. V. Thuong, "Classification of closed manifolds with Sol14-geometry", Geom. Dedicata, 199, pp.373~397 (2019)[DOI]
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