Abstract

Let L ˆ be the q-analog Virasoro-like algebra. In this paper we prove that any Harish-Chandra module of L ˆ with nontrivial center is isomorphic to a generalized highest weight module. Moreover, we show that a generalized highest weight Harish-Chandra module of L ˆ is induced from an irreducible module of a Heisenberg subalgebra of L ˆ .

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