Journal of Lie Theory 16 (2006), No. 1, 139--153
Copyright Heldermann Verlag 2006
Central Extension, Derivations and Automorphism Group for Lie Algebras Arising from the 2-Dimensional Torus
Min Xue
Department of Mathematics, Xiamen University, Xiamen, 361005, P. R. China
Weiqiang Lin
Department of Mathematics, Xiamen University, Xiamen, 361005, P. R. China
Shaobin Tan
Department of Mathematics, Xiamen University, Xiamen, 361005, P. R. China
tans@jingxian.xmu.edu.cn
[Abstract-pdf]
Let $A={\Bbb C}[x_{1}^{\pm1},x_{2}^{\pm1}]$ be the ring of Laurant polynomials and $B$ the set of skew derivations of $A$. Set $\tilde{L}=A \oplus B$. In this paper, we study the automorphism group, derivations and universal central extension of the derived Lie subalgebra of $\tilde{L}$.
Keywords: Virasoro algebra, central extension, automorphism group.
MSC: 17B05, 17B68
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