The classification of $\bf Z$-graded modules of the intermediate series over the $q$-analog Virasoro-like algebra

Details The classification of $\bf Z$-graded modules of the intermediate series over the $q$-analog Virasoro-like algebra The classification of $\bf Z$-graded modules of the intermediate series over the $q$-analog Virasoro-like algebra

2007-11-08

arxiv.org/abs/0711.1200v1

Mathematics

Representation Theory

13 pages

Scientific paper

In this paper, we complete the classification of the {\bf Z}-graded modules of the intermediate series over the $q$-analog Virasoro-like algebra $L$. We first construct four classes of irreducible {\bf Z}-graded $L$-modules of the intermediate series. Then we prove that any {\bf Z}-graded $L$-modules of the intermediate series must be the direct sum of some trivial $L$-modules or one of the modules constructed by us.

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