Journal of Lie Theory

no. 1
Central Extension, Derivations and Automorphism Group for Lie Algebras Arising from the 2-Dimensional Torus
Journal of Lie Theory, Volume 16 (2006) no. 1, pp. 139-153
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 $\tilde{L}$.
DOI: 10.5802/jolt.404
Classification: 17B05, 17B68
Keywords: Virasoro algebra, central extension, automorphism group 
@article{JOLT_2006_16_1_a11,
     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}},
     journal = {Journal of Lie Theory},
     pages = {139--153},
     year = {2006},
     volume = {16},
     number = {1},
     doi = {10.5802/jolt.404},
     zbl = {1105.17006},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.404/}
}
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%A S. Tan
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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, Volume 16 (2006) no. 1, pp. 139-153. doi: 10.5802/jolt.404

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