Non-weight modules over generalized Heisenberg-Virasoro algebra of rank two
Authors
Yi Wen
Naihuan Jing
Jiancai Sun
Honglian Zhang
Abstract
In this paper, we study a class of non-weight modules over the generalized Heisenberg-Virasoro algebra of rank two $\widetilde{L}(p_1, p_2)$. We construct a family of irreducible
$\widetilde{L}(p_1, p_2)$-modules, determine the isomorphism classes and show that these modules exhaust all the $\widetilde{L}(p_1, p_2)$-modules that are free modules of rank one over the Cartan subalgebra.
