Finite-dimensional irreducible modules for the three-point \mathfraksl₂ loop algebra

2007/07/16 by Ito, Tatsuro, Terwilliger, Paul · 1 citation
#05E35 #17B37 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.0707.2313

Abstract

Recently Brian Hartwig and the second author found a presentation for the three-point sl₂ 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 sl₂ loop algebra. In this paper we describe the finite-dimensional irreducible \boxtimes-modules from multiple points of view.

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