On the Discrete Subgroups and Homogeneous Spaces of Nilpotent Lie Groups
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Recently A, Malcev has shown that the homogeneous space of a connected nilpotent Lie group G is the direct product of a compact space and an Euclidean-space and that the compact space of this direct decomposition is also a homogeneous space of a connected subgroup of G. Any compact homogeneous space M of a connected nilpotent Lie group is of the form where is a connected simply connected nilpotent group whose structure constants are rational numbers in a suitable coordinate system and D is a discrete subgroup of G.
2005 ◽
Vol 16
(09)
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pp. 941-955
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1998 ◽
Vol 18
(2)
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pp. 373-396
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2007 ◽
Vol 18
(08)
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pp. 903-918
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2006 ◽
Vol 74
(1)
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pp. 85-90
2007 ◽
Vol 18
(07)
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pp. 783-795
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1985 ◽
Vol 37
(3)
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pp. 467-487
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