An action of the tetrahedron algebra on the standard module for the Hamming graphs and Doob graphs

DOI10.1007/s00373-013-1366-0zbMath1306.05255OpenAlexW1968880550MaRDI QIDQ489319

Arlene A. Pascasio, John Vincent S. Morales

Publication date: 20 January 2015

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-013-1366-0

zbMATH Keywords

distance-regular graphtridiagonal pairtetrahedron Lie algebra

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12) Linear transformations, semilinear transformations (15A04)

Related Items

On quantum adjacency algebras of Doob graphs and their irreducible modules, Bidiagonal triads and the tetrahedron algebra, Finite-dimensional irreducible \(\square_q\)-modules and their Drinfel'd polynomials, On standard bases of irreducible modules of Terwilliger algebras of Doob schemes, Unnamed Item, Linking the special orthogonal algebra \(\mathfrak{so}_4\) and the tetrahedron algebra \(\boxtimes \)

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