The S4-action on the tetrahedron algebra

• Autores: Alberto Carlos Elduque Palomo
• Localización: Pre-publicaciones del Seminario Matemático " García de Galdeano ", Nº. 11, 2006
• Idioma: inglés
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• Resumen

  • The action of the symmetric group S4 on the Tetrahedron algebra, introduced by Hartwig and Terwilliger [HT05], is studied. This action gives a grading of the algebra which is related to its decomposition in [HT05] 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.