Finite-dimensional irreducible modules for the three-point $\mathfrak{sl}_2$ loop algebra

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dc.creatorIto, Tatsuro
dc.creatorTerwilliger, Paul
dc.date2007-07-16
dc.date.accessioned2026-07-07T08:18:33Z
dc.date.available2026-07-07T08:18:33Z
dc.descriptionRecently Brian Hartwig and the second author found a presentation for the three-point $sl_2$ loop algebra by generators and relations. To obtain this presentation they defined a Lie algebra $\boxtimes$ by generators and relations, and displayed an isomorphism from $\boxtimes$ to the three-point $sl_2$ loop algebra. In this paper we describe the finite-dimensional irreducible $\boxtimes$-modules from multiple points of view.
dc.description45 pages
dc.identifierhttps://arxiv.org/abs/0707.2313
dc.identifierhttp://arxiv.org/abs/0707.2313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134470
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject17B37; 05E35
dc.titleFinite-dimensional irreducible modules for the three-point $\mathfrak{sl}_2$ loop algebra
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