A characterization of irreducible modules of Terwilliger algebras of Doob graphs via quasi-isomorphism
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Publication:6670644
Tessie M. Palma, John Vincent S. Morales
Publication date: 23 January 2025
Published in: Matimyás Matematika (Search for Journal in Brave)
Terwilliger algebradistance-regular graphsDoob graphsquantum adjacency algebraquasi-isomorphic modules
Association schemes, strongly regular graphs (05E30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)
Cites Work
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- Distance-regular graphs
- An action of the tetrahedron algebra on the standard module for the Hamming graphs and Doob graphs
- On Lee association schemes over \(\mathbb{Z}_4\) and their Terwilliger algebra
- On bipartite distance-regular graphs with exactly two irreducible T-modules with endpoint two
- The irreducible modules of the Terwilliger algebras of Doob schemes
- The subconstituent algebra of an association scheme. I
- The subconstituent algebra of an association scheme. III
- The subconstituent algebra of an association scheme. II
- On the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_2 = 0\) and \(c_2 = 2\)
- On quantum adjacency algebras of Doob graphs and their irreducible modules
- Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
- Terwilliger algebras of wreath products of association schemes
- Commutative association schemes
- An \(A\)-invariant subspace for bipartite distance-regular graphs with exactly two irreducible \(T\)-modules with endpoint 2, both thin
- On bipartite \(Q\)-polynomial distance-regular graphs with diameter 9, 10, or 11
- The Terwilliger algebra of an almost-bipartite \(P\)- and \(Q\)-polynomial association scheme
- The Terwilliger algebra of a distance-regular graph that supports a spin model
- The Terwilliger algebra of the incidence graph of the Hamming graph
- The quantum adjacency algebra and subconstituent algebra of a graph
- The isomorphism problem of trees from the viewpoint of Terwilliger algebras
- On the Terwilliger algebra of distance-biregular graphs
- The Terwilliger algebras of Grassmann graphs
- The Terwilliger algebra of the Grassmann scheme \(J_q(N,D)\) revisited from the viewpoint of the quantum affine algebra \(U_q(\hat{\mathfrak{sl}}_2)\)
- The Terwilliger algebra of the Johnson scheme \(J(N, D)\) revisited from the viewpoint of group representations
- On bipartite distance-regular graphs with exactly one non-thin \(T\)-module with endpoint two
- The Terwilliger algebras of Johnson graphs
- The Terwilliger algebra of a Hamming scheme \(H(d,q)\)
- Some algebra related to \(P\)- and \(Q\)-polynomial association schemes
- On a certain class of 1-thin distance-regular graphs
- On the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_{2}=0\) and \(c_{2}=1\)
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