Geodesic
Central Extension, Derivations and Automorphism Group for Lie Algebras Arising from the 2-Dimensional Torus
Min Xue1 ; Weiqiang Lin1 ; Shaobin Tan1
1Department of Mathematics, Xiamen University, Xiamen, 361005, P. R. China
Journal of Lie Theory, Tome 16 (2006) no. 1, pp. 139-153

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Min Xue  1   ; Weiqiang Lin  1   ; Shaobin Tan  1

1 Department of Mathematics, Xiamen University, Xiamen, 361005, P. R. China 
Min Xue; Weiqiang Lin; Shaobin 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/JOLT_2006_16_1_a11/
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     title = {Central {Extension,} {Derivations} and {Automorphism} {Group} for {Lie} {Algebras} {Arising} from the {2-Dimensional} {Torus}},
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