| The Killing Forms of Lie Triple Systems |
| Received:May 16, 2007 Revised:April 16, 2008 |
| Key Words:
Lie triple system Killing form complexification.
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| Fund Project:the Natural Science Foundation of Hebei Province (Nos.A200500008; A2007000138). |
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| Abstract: |
| For Lie triple systems in the characteristic zero setting, we obtain by means of the Killing forms two criterions for semisimplicity and for solvability respectively, and then investigate the relationship among the Killing forms of a real Lie triple system $T_{0}$, the complexification $T$ of $T_{0}$, and the realification of $T$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.04.022 |
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