On standard bases of irreducible modules of Terwilliger algebras of Doob schemes (Q6083978)

scientific article; zbMATH DE number 7757983

Language	Label	Description	Also known as
English	On standard bases of irreducible modules of Terwilliger algebras of Doob schemes	scientific article; zbMATH DE number 7757983

Statements

instance of

scholarly article

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title

On standard bases of irreducible modules of Terwilliger algebras of Doob schemes (English)

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author

John Vincent S. Morales

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published in

Journal of Algebraic Combinatorics

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publication date

31 October 2023

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zbMATH Keywords

Terwilliger algebra

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symmetric association schemes

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Doob schemes

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special orthogonal Lie algebra

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Krawtchouk polynomials

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tetrahedron algebra

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MaRDI profile type

MaRDI publication profile

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cites work

Q4222737

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A family of tridiagonal pairs

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A family of tridiagonal pairs related to the quantum affine algebra U_q(sl_2)

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Q3218140

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Q3992965

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The Terwilliger algebra of an almost-bipartite $P$- and $Q$-polynomial association scheme

0 references

The Terwilliger algebra of a distance-regular graph that supports a spin model

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Distance-regular graphs

0 references

Q5548697

0 references

The $S_4$-action on tetrahedron algebra

0 references

On the Terwilliger algebra of distance-biregular graphs

0 references

The Terwilliger algebras of Johnson graphs

0 references

The Terwilliger algebras of Grassmann graphs

0 references

Q3137758

0 references

Q4630753

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The tetrahedron algebra and its finite-dimensional irreducible modules

0 references

The tetrahedron algebra, the Onsager algebra, and the $\mathfrak{sl}_2$ loop algebra

0 references

Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.

0 references

Introduction to Lie Algebras and Representation Theory

0 references

The Rahman polynomials and the Lie algebra $\mathfrak{sl}_{3}(\mathbb{C})$

0 references

Tridiagonal pairs of Krawtchouk type

0 references

The shape of a tridiagonal pair.

0 references

Tridiagonal pairs and the quantum affine algebra $U_q(\widehat{\text{sl}}_2)$.

0 references

TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS

0 references

Q2717204

0 references

Hypergeometric Orthogonal Polynomials and Their q-Analogues

0 references

The Terwilliger algebra of a Hamming scheme $H(d,q)$

0 references

The isomorphism problem of trees from the viewpoint of Terwilliger algebras

0 references

The Terwilliger algebra of the Grassmann scheme $J_q(N,D)$ revisited from the viewpoint of the quantum affine algebra $U_q(\hat{\mathfrak{sl}}_2)$

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On bipartite distance-regular graphs with exactly one non-thin $T$-module with endpoint two

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On bipartite distance-regular graphs with exactly two irreducible T-modules with endpoint two

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On a certain class of 1-thin distance-regular graphs

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On the Terwilliger algebra of bipartite distance-regular graphs with $\Delta_{2}=0$ and $c_{2}=1$

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An $A$-invariant subspace for bipartite distance-regular graphs with exactly two irreducible $T$-modules with endpoint 2, both thin

0 references

On bipartite $Q$-polynomial distance-regular graphs with diameter 9, 10, or 11

0 references

Commutative association schemes

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Linking the special orthogonal algebra $\mathfrak{so}_4$ and the tetrahedron algebra $\boxtimes $

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On Lee association schemes over $\mathbb{Z}_4$ and their Terwilliger algebra

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On quantum adjacency algebras of Doob graphs and their irreducible modules

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

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Terwilliger algebras of wreath products of association schemes

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A refinement of the split decomposition of a tridiagonal pair

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Krawtchouk polynomials, the Lie algebra $\mathfrak{sl}_2$, and Leonard pairs

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The structure of a tridiagonal pair

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Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

0 references

On the Terwilliger algebra of bipartite distance-regular graphs with $\Delta_2 = 0$ and $c_2 = 2$

0 references

Q3485721

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The Terwilliger algebra of the Johnson scheme $J(N, D)$ revisited from the viewpoint of group representations

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The irreducible modules of the Terwilliger algebras of Doob schemes

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TWO RELATIONS THAT GENERALIZE THE Q-SERRE RELATIONS AND THE DOLAN-GRADY RELATIONS

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The subconstituent algebra of an association scheme. I

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The subconstituent algebra of an association scheme. II

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The subconstituent algebra of an association scheme. III

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Q5493480

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The quantum adjacency algebra and subconstituent algebra of a graph

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The Terwilliger algebra of the incidence graph of the Hamming graph

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Identifiers

zbMATH Open document ID

1525.05198

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Mathematics Subject Classification ID

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10.1007/S10801-023-01227-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:6083978