%0 Journal Article
%T Verma modules over the generalized Heisenberg-Virasoro algebra
%A Ran Shen
%A Yucai Su
%J Mathematics
%D 2005
%I arXiv
%X For any additive subgroup $G$ of an arbitrary field $F$ of characteristic zero, there corresponds a generalized Heisenberg-Virasoro algebra $L[G]$. Given a total order of $G$ compatible with its group structure, and any $h,h_I,c,c_I,c_{LI}\in F$, a Verma module $M(h,h_I,c,c_I,c_{LI})$ over $L[G]$ is defined. In the this note, the irreducibility of Verma modules $M(h,h_I,c,c_I,c_{LI})$ is completely determined.
%U http://arxiv.org/abs/math/0511494v1