On quantum adjacency algebras of Doob graphs and their irreducible modules

DOI10.1007/S10801-021-01034-WzbMath1479.05369OpenAlexW3149730845MaRDI QIDQ825520

John Vincent S. Morales, Tessie M. Palma

Publication date: 17 December 2021

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-021-01034-w

zbMATH Keywords

Terwilliger algebraDoob graphs\(Q\)-polynomial distance-regular graphquantum adjacency algebraspecial orthogonal Lie algebra

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Quantum stochastic calculus (81S25) Linear transformations, semilinear transformations (15A04)

Related Items (2)

On standard bases of irreducible modules of Terwilliger algebras of Doob schemes ⋮ Linking the special orthogonal algebra \(\mathfrak{so}_4\) and the tetrahedron algebra \(\boxtimes \)

Cites Work

• The Terwilliger algebra of the incidence graphs of Johnson geometry
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