| The Extension of Lie Algebras According to the Extension of Fields |
| Received:October 28, 2002 |
| Key Words:
Lie algebras quasi-subalgebras root systems.
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| Abstract: |
| Let E be an algebraic closed field of characteristic not zero, F its subfield with [E : F] <∞, and LE a simple Lie algebra of type L over E of finite dimension. Then LF is a quasi-subalgebra of LE. In this paper, we determine all the quasi-subalgebras of LE which include LF. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2005.03.025 |
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