| Central Extension for the Triangular Derivation Lie Algebra |
| Received:October 23, 2010 Revised:August 31, 2011 |
| Key Words:
triangular derivation Lie algebra central extension $2$-cocycle.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11171294), the Natural Science Foundation of Heilongjiang Province (Grant No.A201013) and the Fund of Heilongjiang Education Committee (Grant No.11541268). |
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| Abstract: |
| In this paper, we study a class of subalgebras of the Lie algebra of vector fields on $n$-dimensional torus, which are called the Triangular derivation Lie algebra. We give the structure and the central extension of Triangular derivation Lie algebra. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2012.05.005 |
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