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imported>Pythagoras0 (새 문서: ==introduction== * a complex Lie algbera L can be regarded as a real Lie algebra <math>L^{R}</math> * if <math>L^{R}=L_0\oplus i L_0</math> for some real subalgebra <math>L_0</math> *...) |
imported>Pythagoras0 |
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| 10번째 줄: | 10번째 줄: | ||
* of all the real forms of a given simple complex Lie algebra, there is precisely one which is the real Lie algebra of a compact Lie group | * of all the real forms of a given simple complex Lie algebra, there is precisely one which is the real Lie algebra of a compact Lie group | ||
* a real Lie algebra which is the Lie algebra of some compact group is called compact | * a real Lie algebra which is the Lie algebra of some compact group is called compact | ||
| + | [[분류:migrate]] | ||
2020년 11월 13일 (금) 20:22 판
introduction
- a complex Lie algbera L can be regarded as a real Lie algebra \(L^{R}\)
- if \(L^{R}=L_0\oplus i L_0\) for some real subalgebra \(L_0\)
- \(L_0\) is called a real from of \(L\)
- split real forms
- compact real forms
compact real forms
- of all the real forms of a given simple complex Lie algebra, there is precisely one which is the real Lie algebra of a compact Lie group
- a real Lie algebra which is the Lie algebra of some compact group is called compact