Hypercube and tetrahedron algebra

DOI10.1007/s11401-015-0906-8zbMath1310.05219OpenAlexW2080027826MaRDI QIDQ2340483

Bo Hou, Suo-gang Gao

Publication date: 20 April 2015

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-015-0906-8

zbMATH Keywords

hypercubedistance-regular graphOnsager algebratetrahedron algebra

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Infinite-dimensional Lie (super)algebras (17B65) Distance in graphs (05C12)

Related Items (1)

Bidiagonal triads and the tetrahedron algebra

Cites Work

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• The irreducible modules of the Terwilliger algebras of Doob schemes
• The subconstituent algebra of an association scheme. I
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• The Terwilliger algebra of the hypercube
• The tetrahedron algebra and its finite-dimensional irreducible modules
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• Distance-regular graphs which support a spin model are thin
• The Terwilliger algebras of bipartite \(P\)- and \(Q\)-polynomial schemes
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• Some matrices associated with the split decomposition for a \(Q\)-polynomial distance-regular graph
• Finite-Dimensional Irreducible Modules for the Three-Point 2 Loop Algebra
• The $S_4$-action on tetrahedron algebra
• A generalization of the Terwilliger algebra

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