Virasoro代数导子的刻画

The Description of the Virasoro Algebra

设L是以{Ln,C|n∈z}为基的Virasoro李代数.本文研究L的导子,首先证明了L的所有导子都是由零次导子和内导子构成.进而,计算出零次导子,从而得出了Virasoro李代数L的导子及1-上同调群.

Let L be the Virasoro Lie algebra with basis {L.,C] n ∈ Z } . In lhis paper, the derivations of L are studied,first, it is showed that all of the derivations of L are composed by derivations with degree zero and inner derivations. And then, derivations with degree zero are worked out. Finally,the derivations of the Virasoro Lie algebra and the first cohomology group are obtained.