
Journal of Lie Theory 16 (2006), No. 1, 139153 Copyright Heldermann Verlag 2006 Central Extension, Derivations and Automorphism Group for Lie Algebras Arising from the 2Dimensional 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 [Abstractpdf] 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 [ Fulltextpdf (202 KB)] for subscribers only. 