The Tetrahedron algebra and its finite-dimensional irreducible modules

Simple item page
dc.creatorHartwig, Brian
dc.date2006-06-08
dc.date.accessioned2026-07-07T07:17:06Z
dc.date.available2026-07-07T07:17:06Z
dc.descriptionRecently Terwilliger and the present author found a presentation for the three-point $\mathfrak{sl}_2$ loop algebra via generators and relations. To obtain this presentation we defined a Lie algebra $\boxtimes$ by generators and relations and displayed an isomorphism from $\boxtimes$ to the three-point $\mathfrak{sl}_2$ loop algebra. In this paper we classify the finite-dimensional irreducible $\boxtimes$-modules.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0606197
dc.identifierhttp://arxiv.org/abs/math/0606197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113820
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.titleThe Tetrahedron algebra and its finite-dimensional irreducible modules
dc.typetext

Files

Collections

arXiv