Distance-regular graphs of $q$-Racah type and the $q$-tetrahedron algebra

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dc.creatorIto, Tatsuro
dc.creatorTerwilliger, Paul
dc.date2007-08-15
dc.date.accessioned2026-07-07T08:23:43Z
dc.date.available2026-07-07T08:23:43Z
dc.descriptionIn this paper we discuss a relationship between the following two algebras: (i) the subconstituent algebra $T$ of a distance-regular graph that has $q$-Racah type; (ii) the $q$-tetrahedron algebra $\boxtimes_q$ which is a $q$-deformation of the three-point $sl_2$ loop algebra. Assuming that every irreducible $T$-module is thin, we display an algebra homomorphism from $\boxtimes_q$ into $T$ and show that $T$ is generated by the image together with the center $Z(T)$.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0708.1992
dc.identifierhttp://arxiv.org/abs/0708.1992
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136099
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject05E30
dc.titleDistance-regular graphs of $q$-Racah type and the $q$-tetrahedron algebra
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