$q$-Inverting pairs of linear transformations and the $q$-tetrahedron algebra

Simple item page
dc.creatorIto, Tatsuro
dc.creatorTerwilliger, Paul
dc.date2006-06-10
dc.date.accessioned2026-07-07T07:17:09Z
dc.date.available2026-07-07T07:17:09Z
dc.descriptionAs part of our study of the $q$-tetrahedron algebra $\boxtimes_q$ we introduce the notion of a $q$-inverting pair. Roughly speaking, this is a pair of invertible semisimple linear transformations on a finite-dimensional vector space, each of which acts on the eigenspaces of the other according to a certain rule. Our main result is a bijection between the following two sets: (i) the isomorphism classes of finite-dimensional irreducible $\boxtimes_q$-modules of type 1; (ii) the isomorphism classes of $q$-inverting pairs.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0606237
dc.identifierhttp://arxiv.org/abs/math/0606237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113841
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject17B37;16W35 05E35, 82B23
dc.title$q$-Inverting pairs of linear transformations and the $q$-tetrahedron algebra
dc.typetext

Files

Collections

arXiv