SUBALGEBRAS OF A q-ANALOG FOR THE VIRASORO ALGEBRA

Abstract

We define subalgebras VqmZ×nZ of VqwhereVq are in the paper [4]. We show that the Lie algebra VqmZ×nZ is simple and maximally abelian decomposing. We may define a Lie algebra is maximally abelian decomposing, if it has a maximally abelian decomposition of it. The F-algebra automorphism group of the Laurent extension of the quantum plane is found in the paper [4], so we find the Lie automorphism group of VqmZ×nZ in this paper.