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| A CLASS OF HOMOGENEOUS SEMISIMPLE SPACES |
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Citation： |
Hou Zixin,Lu Linyuan.A CLASS OF HOMOGENEOUS SEMISIMPLE SPACES[J].Chinese Annals of Mathematics B,1998,19(3):321~330 |
| Page view： 1028
Net amount： 705 |
Authors： |
Hou Zixin; Lu Linyuan |
Foundation： |
Project supported by the National Natural Science
Foundation of China (19231020). |
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| Abstract： |
The semisimple structure, which generalizes the complex and the paracomplex
structures, is considered. The authors classify all the homogeneous semisimple
spaces whose underlying spaces are $G/C(W)_{0}$, where $G$ is a real simple
Lie Group, $W\in \frak g$,$C(W)_0$ is the identity component of the
centralizer $C(W)$ of $W$ in $G$. |
Keywords： |
Semisimple structure, Homogeneous semisimple
structure, Homogeneous semisimple space |
Classification： |
14M17, 53C30 |
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