The $S_4$-action on tetrahedron algebra
The $S_4$-action on tetrahedron algebra
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四面体代数上的 $S_4$-作用
DOI：
10.1017/s0308210506000473
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
A. Elduque
中科院分区：
文献类型：
--
作者：
A. Elduque
研究了对称群S_4 $在由Hartwig和Terwilliger引入的四面体代数上的作用。这一行动给出了一个评分的代数是有关其分解成一个直接和三个子代数同构的Onsager代数。确定了四面体代数和Onsager代数的理想。
The action of the symmetric group $S_4$ 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.