量子环面李代数的自同构群，泛中心扩张与导子

Abstract

C_q∶=C_q[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.该文研究李代数L_q的自同构群,泛中心扩张和导子李代数.

Let q be generic and C_q:=C_q[x_1~(±1),x_2~(±1)]be an associative torus algebra,and D(C_q) the set of derivations of C_q.Set L_q to be the derived Lie subalgebra of C_q(?)D(C_q).In this paper,we study the automorphism group,central extension and derivations of the Lie algebra L_q.