一类量子环面李代数的泛中心扩张

Central Extension for a Lie Algebra over Quantum Torus

设C_q=Cq[x_1^(±1),x_2^(±1)]为复数域上的量子环面,其中q≠0是一个非单位根,D(C_q)为C_q的导子李代数。记L_q为C_q⊕D(C_q)的导出子代数。本文研究李代数L_q的泛中心扩张。

Let q be generic and Cq=Cq[x1^±1,x2^1] be an associative torus algebra, and D（Ca） the set of derivations of Cq. Set Lq to be the derived Lie subalgebra of Cq＋D（Cq）. In this paper, we study the central extension of the Lie algebra Lq.