Verma modules over the generalized Heisenberg-Virasoro algebra

Simple item page
dc.creatorShen, Ran
dc.creatorSu, Yucai
dc.date2005-11-20
dc.date.accessioned2026-07-07T06:51:29Z
dc.date.available2026-07-07T06:51:29Z
dc.descriptionFor 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.
dc.descriptionLaTeX, 9 pages
dc.identifierhttps://arxiv.org/abs/math/0511494
dc.identifierhttp://arxiv.org/abs/math/0511494
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105004
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B56; 17B68
dc.titleVerma modules over the generalized Heisenberg-Virasoro algebra
dc.typetext

Files

Collections

arXiv