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On an infinite-dimensional Lie algebra of Virasoro-type
PEI Yufeng 1,BAI Chengming 2 * #
1.Department of Mathematics,Shanghai Normal University, ShangHai 200234
2.Chern Institute of Mathematics,Nankai University, TianJin 300071
*Correspondence author
#Submitted by
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Funding: theShanghai Natural Science Foundation （No.11ZR1425900）, the InnovationProgram of Shanghai Municipal Education Commission （No.11YZ85）, NSFC（No.11101285,11071068,10921061）, SRFDP （No.200800550015）, ZJNSF（No.Y6100148）
Opened online:22 December 2011
Accepted by: none
Citation: PEI Yufeng ,BAI Chengming.On an infinite-dimensional Lie algebra of Virasoro-type[OL]. [22 December 2011] http://en.paper.edu.cn/en_releasepaper/content/4454969
 
 
In this paper, we study an infinite-dimensional Lie algebra of Virasoro-type whichis realized as an affinization of a 2-dimensional Novikov algebra. It is a special deformation ofthe Liealgebra of differential operators on a circle of order at most one.There is an explicit construction of a vertex algebra associated to the Lie algebra.We determine derivations and central extensionsof this Lie algebra in terms of derivations and bilinear formsof the corresponding Novikov algebra respectively.
Keywords:Lie algebra; Novikov algebra; Derivation; Central extension
 
 
 

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