Finite-Dimensional Irreducible Modules for the Three-Point π°π©2 Loop Algebra
By Tatsuro Ito, Paul M. Terwilliger. 2007
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Recently Brian Hartwig and the second author found a presentation for the three-point π°π©2 loop algebra by generators and relations. To obtain this presentation they defined a Lie algebra β by generators and relations, and displayed an isomorphism from β to the three-point π°π©2 loop algebra. In this article, we describe the finite-dimensional irreducible β -modules from multiple points of view.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/320b16393d2d6e04e50061f8dbabc341f2425a2f