The $S_4$-action on the Tetrahedron algebra

dc.creatorElduque, Alberto
dc.date2006-04-10
dc.date2006-09-01
dc.date.accessioned2026-07-07T07:10:43Z
dc.date.available2026-07-07T07:10:43Z
dc.descriptionThe action of the symmetric group of degree 4 on the Tetrahedron algebra, introduced by Hartwig and Terwilliger, is studied. This action gives a grading of the algebra which is related to its decomposition into a direct sum of three subalgebras isomorphic to the Onsager algebra. The ideals of both the Tetrahedron algebra and the Onsager algebra are determined.
dc.description22 pages. Corollary 4.9 has been corrected, as well as some misprints
dc.identifierhttps://arxiv.org/abs/math/0604218
dc.identifierhttp://arxiv.org/abs/math/0604218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111508
dc.subjectRings and Algebras
dc.subject17B65; 17B40
dc.titleThe $S_4$-action on the Tetrahedron algebra
dc.typetext

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