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On the Discrete Subgroups and Homogeneous Spaces of Nilpotent Lie Groups
| Content Provider | Scilit |
|---|---|
| Author | Matsushima, Yozô |
| Copyright Year | 1951 |
| Description | 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. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/A057D20B47DDFEB89067E52F8F5CC9DA/S0027763000010096a.pdf/div-class-title-on-the-discrete-subgroups-and-homogeneous-spaces-of-nilpotent-lie-groups-div.pdf |
| ISSN | 00277630 |
| e-ISSN | 21526842 |
| DOI | 10.1017/s0027763000010096 |
| Journal | Nagoya Mathematical Journal |
| Volume Number | 2 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1951-02-01 |
| Access Restriction | Open |
| Subject Keyword | Nagoya Mathematical Journal Homogeneous Space |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
