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The tetrahedron algebra and its finite-dimensional irreducible modules
Authors:Brian Hartwig
Institution:Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, WI 53706-1388, USA
Abstract:Recently Terwilliger and the present author found a presentation for the three-point sl2 loop algebra via generators and relations. To obtain this presentation we defined a Lie algebra ? by generators and relations and displayed an isomorphism from ? to the three-point sl2 loop algebra. In this paper we classify the finite-dimensional irreducible ?-modules.
Keywords:Primary 17B65  Secondary 17B81  15A06
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