Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Lie Theory 16 (2006), No. 1, 139--153Copyright 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 [ Fulltext-pdf  (202  KB)] for subscribers only.