The $S_4$-action on the Tetrahedron algebra
Rings and Algebras
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.math/0604218,
title = {The $S_4$-action on the Tetrahedron algebra},
author = {Alberto Elduque},
journal= {arXiv preprint arXiv:math/0604218},
year = {2007}
}
Comments
22 pages. Corollary 4.9 has been corrected, as well as some misprints