Automorphisms and Verma modules for Generalized Schrödinger-Virasoro algebras

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dc.creatorTan, Shaobin
dc.creatorZhang, Xiufu
dc.date2008-04-10
dc.date2008-05-21
dc.date.accessioned2026-07-07T09:39:48Z
dc.date.available2026-07-07T09:39:48Z
dc.descriptionLet $\mathbb{F}$ be a field of characteristic 0, $G$ an additive subgroup of $\mathbb{F}$, $α\in \mathbb{F}$ satisfying $α\notin G, 2α\in G$. We define a class of infinite-dimensional Lie algebras which are called generalized Schrödinger-Virasoro algebras and use $\mathfrak{gsv}[G,α]$ to denote the one corresponding to $G$ and $α$. In this paper the automorphism group and irreducibility of Verma modules for $\mathfrak{gsv}[G,α]$ are completely determined.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0804.1610
dc.identifierhttp://arxiv.org/abs/0804.1610
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161311
dc.subjectQuantum Algebra
dc.subject17B40; 17B68
dc.titleAutomorphisms and Verma modules for Generalized Schrödinger-Virasoro algebras
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