The structure of quotients of the Onsager algebra by closed ideals *The structure of quotients of th

  title={The structure of quotients of the Onsager algebra by closed ideals *The structure of quotients of th},
  author={Etsurō Date and Shi-Shyr Roan},
  journal={Journal of Physics A},
  • E. Date, S. Roan
  • Published 3 November 1999
  • Mathematics, Physics
  • Journal of Physics A
We study the Onsager algebra from the ideal theoretic point of view. A complete classification of closed ideals and the structure of quotient algebras are obtained. We also discuss the solvable algebra aspect of the Onsager algebra through the use of formal Lie algebras. 
We study the Lie algebra structure of the Onsager algebra from the ideal theoretic point of view. A structure theorem of ideals in the Onsager algebra is obtained with the connection to the
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The $S_4$-action on tetrahedron algebra
  • A. Elduque
  • Mathematics
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  • 2007
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


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