q-类似Virasoro-like代数上的一类Z^2-阶化中间序列模

A Class of Z^2- graded Modules of the Intermediate Series over the q-analog Virasoro-like Algebra

本文构造了一类q-类似Virasoro-like代数上的Z^2-阶化中间序列模,并研究了这类模的同构关系以及它们的子模和商模,最后给出了一类商模与该代数上Z-阶化中间序列模的同构关系.

In this paper, We construct a class of Z2 -graded modules of the intermediate series over the q-analog Virasoro-like algebra , and study the isomorphic relations, submodules, qucptient modules of these modules, Then we give a class of the isomorphic relations between quotient modules and Z - graded modules of intermediate series over this algebra.