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The standard generators of the tetrahedron algebra and their look-alikes

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Publication:6597510
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DOI10.1016/J.JALGEBRA.2024.06.012MaRDI QIDQ6597510

Jae-Ho Lee

Publication date: 3 September 2024

Published in: Journal of Algebra (Search for Journal in Brave)




zbMATH Keywords

Onsager algebratetrahedron algebrathree-point \(\mathfrak{sl}_2\)-loop algebra


Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65)


Cites Work

  • Title not available (Why is that?)
  • An action of the tetrahedron algebra on the standard module for the Hamming graphs and Doob graphs
  • The tetrahedron algebra and its finite-dimensional irreducible modules
  • The tetrahedron algebra, the Onsager algebra, and the \(\mathfrak{sl}_2\) loop algebra
  • Linking the special orthogonal algebra \(\mathfrak{so}_4\) and the tetrahedron algebra \(\boxtimes \)
  • Tridiagonal pairs of Krawtchouk type
  • The universal central extension of the three-point $\mathfrak {sl}_2$ loop algebra
  • Finite-Dimensional Irreducible Modules for the Three-Point 2 Loop Algebra
  • Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition







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