%0 Journal Article
%T The $S_4$-action on the Tetrahedron algebra
%A Alberto Elduque
%J Mathematics
%D 2006
%I arXiv
%X The 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.
%U http://arxiv.org/abs/math/0604218v2