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math.RT2007★ 15 cited
Finite-dimensional irreducible modules for the three-point loop algebra
Tatsuro Ito, Paul Terwilliger
Recently Brian Hartwig and the second author found a presentation for the three-point loop algebra by generators and relations. To obtain this presentation they defined a Li…
math.RT2006★ 3 cited
-Inverting pairs of linear transformations and the -tetrahedron algebra
Tatsuro Ito, Paul Terwilliger
As part of our study of the -tetrahedron algebra we introduce the notion of a -inverting pair. Roughly speaking, this is a pair of invertible semisimple linear…