Geodesic
Central Extension, Derivations and Automorphism Group for Lie Algebras Arising from the 2-Dimensional Torus
Journal of Lie theory, Tome 16 (2006) no. 1, pp. 139-153.

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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 $\tilde{L}$.
Classification : 17B05, 17B68
Mots-clés : Virasoro algebra, central extension, automorphism group 
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     author = {M. Xue and W. Lin and S. Tan },
     title = {Central {Extension,} {Derivations} and {Automorphism} {Group} for {Lie} {Algebras} {Arising} from the {2-Dimensional} {Torus}},
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M. Xue; W. Lin; S. Tan . Central Extension, Derivations and Automorphism Group for Lie Algebras Arising from the 2-Dimensional Torus. Journal of Lie theory, Tome 16 (2006) no. 1, pp. 139-153. http://geodesic.mathdoc.fr/item/JLT_2006_16_1_JLT_2006_16_1_a11/