On quantum adjacency algebras of Doob graphs and their irreducible modules
type: Item
instance of: scholarly article
title: On quantum adjacency algebras of Doob graphs and their irreducible modules
zbMATH Open document ID: 1479.05369
author: John Morales
author: Tessie M. Palma
published in: Journal of Algebraic Combinatorics
publication date: 2021-12-17T00:00:00Z
Mathematics Subject Classification ID: 05E30
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 81S25
Mathematics Subject Classification ID: 15A04
zbMATH DE Number: 7447666
zbMATH Keywords: Terwilliger algebra
zbMATH Keywords: quantum adjacency algebra
zbMATH Keywords: Doob graphs
zbMATH Keywords: \(Q\)-polynomial distance-regular graph
zbMATH Keywords: special orthogonal Lie algebra
MaRDI profile type: Publication
full work available at URL: s10801-021-01034-w
OpenAlex ID: W3149730845
cites work: Q3218140
cites work: Q3992965
cites work: The Terwilliger algebra of an almost-bipartite \(P\)- and \(Q\)-polynomial association scheme
cites work: Q4074938
cites work: Characterization of H(n,q) by the parameters
cites work: The Terwilliger algebras of Johnson graphs
cites work: The Terwilliger algebras of Grassmann graphs
cites work: The Terwilliger algebra of the hypercube
cites work: Q4423258
cites work: Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
cites work: Introduction to Lie Algebras and Representation Theory
cites work: Some algebra related to \(P\)- and \(Q\)-polynomial association schemes
cites work: The Terwilliger algebra of the incidence graphs of Johnson geometry
cites work: The Terwilliger algebra of a Hamming scheme \(H(d,q)\)
cites work: On the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_{2}=0\) and \(c_{2}=1\)
cites work: Commutative association schemes
cites work: On Lee association schemes over \(\mathbb{Z}_4\) and their Terwilliger algebra
cites work: An action of the tetrahedron algebra on the standard module for the Hamming graphs and Doob graphs
cites work: The irreducible modules of the Terwilliger algebras of Doob schemes
cites work: The subconstituent algebra of an association scheme. I
cites work: The subconstituent algebra of an association scheme. II
cites work: The subconstituent algebra of an association scheme. III
cites work: The quantum adjacency algebra and subconstituent algebra of a graph
DOI: 10.1007/S10801-021-01034-W
description: scientific article; zbMATH DE number 7447666