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Verma modules over the generalized Heisenberg-Virasoro algebra

Ran Shen·Yucai Su
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Abstract

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.

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Ran Shen, Yucai Su. 2005-11-20. Verma modules over the generalized Heisenberg-Virasoro algebra. https://arxiv.org/abs/math/0511494

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