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In mathematics, a simple Lie group is a connected non-abelian Lie group G which does not have nontrivial connected normal subgroups. The list of simple Lie groups can be used to read off the list of simple Lie algebras and Riemannian symmetric spaces.
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lie simple group groups connected compact complex center algebra simply real algebras displaystyle classification symmetric semisimple spaces exceptional subgroup centerless
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Simple Lie group | is a | connected non-abelian Lie group G which does not have nontrivial connected normal subgroups | 0.90 | text |
| Simple Lie group | is a | simple Lie algebra | 0.90 | text |
| E6 | instance of | and octonions.In the symbols | 0.80 | text |
| Simple Lie group | related to Alternatives | An | 0.60 | section |
| Simple Lie group | related to Alternatives | Lie | 0.60 | section |
| Simple Lie group | related to Alternatives | For | 0.60 | section |
| Simple Lie group | related to Alternatives | Simple Lie | 0.60 | section |
| Simple Lie group | related to Alternatives | Felix Klein's Erlangen | 0.60 | section |
| Simple Lie group | related to Alternatives | It | 0.60 | section |
| Simple Lie group | related to Alternatives | These | 0.60 | section |
| Simple Lie group | related to Definition | Unfortunately | 0.60 | section |
| Simple Lie group | related to Definition | Lie | 0.60 | section |
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