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[LIBRO][B] Algebraic combinatorics
E Bannai, E Bannai, T Ito, R Tanaka - 2021 - books.google.com
Algebraic combinatorics is the study of combinatorial objects as an extension of the study of
finite permutation groups, or, in other words, group theory without groups. In the spirit of …
finite permutation groups, or, in other words, group theory without groups. In the spirit of …
[HTML][HTML] Introduction to Leonard pairs
P Terwilliger - Journal of Computational and Applied mathematics, 2003 - Elsevier
In this survey paper we give an elementary introduction to the theory of Leonard pairs. A
Leonard pair is defined as follows. Let K denote a field and let V denote a vector space over …
Leonard pair is defined as follows. Let K denote a field and let V denote a vector space over …
Distance-regular graphs
This is a survey of distance-regular graphs. We present an introduction to distance-regular
graphs for the reader who is unfamiliar with the subject, and then give an overview of some …
graphs for the reader who is unfamiliar with the subject, and then give an overview of some …
Two linear transformations each tridiagonal with respect to an eigenbasis of the other
P Terwilliger - Linear algebra and its applications, 2001 - Elsevier
Let K denote a field, and let V denote a vector space over K with finite positive dimension.
We consider a pair of linear transformations A: V→ V and A*: V→ V satisfying both …
We consider a pair of linear transformations A: V→ V and A*: V→ V satisfying both …
Some algebra related to -and -polynomial association schemes
T Ito, K Tanabe, P Terwilliger - arxiv preprint math/0406556, 2004 - arxiv.org
Let $ K $ denote a field, and let $ V $ denote a vector space over $ K $ with finite positive
dimension. Consider a pair of linear transformations $ A: V\to V $ and $ A^*: V\to V $ that …
dimension. Consider a pair of linear transformations $ A: V\to V $ and $ A^*: V\to V $ that …
Leonard pairs and the Askey–Wilson relations
Let K denote a field and let V denote a vector space over K with finite positive dimension. We
consider an ordered pair of linear transformations A: V→ V and A*: V→ V which satisfy the …
consider an ordered pair of linear transformations A: V→ V and A*: V→ V which satisfy the …
TWO RELATIONS THAT GENERALIZE THE -SERRE RELATIONS AND THE DOLAN-GRADY RELATIONS
P Terwilliger - Physics and combinatorics, 2001 - World Scientific
We define an algebra on two generators which we call the Tridiagonal algebra, and we
consider its irreducible modules. The algebra is defined as follows. Let 𝕂 denote a field, and …
consider its irreducible modules. The algebra is defined as follows. Let 𝕂 denote a field, and …
The Terwilliger algebra of the hypercube
JT Go - European Journal of Combinatorics, 2002 - Elsevier
We give an introduction to the Terwilliger algebra of a distance-regular graph, focusing on
the hypercube QDof dimension D. Let X denote the vertex set ofQD. Fix a vertex x∈ X, and …
the hypercube QDof dimension D. Let X denote the vertex set ofQD. Fix a vertex x∈ X, and …
Distance-regular graphs, the subconstituent algebra, and the Q-polynomial property
P Terwilliger - Algebraic Combinatorics and the Monster Group, 2023 - books.google.com
Distance-regular graphs, the subconstituent algebra, and the Q-polynomial property Page 447
11 Distance-Regular Graphs, the Subconstituent Algebra, and the Q -Polynomial Property Paul …
11 Distance-Regular Graphs, the Subconstituent Algebra, and the Q -Polynomial Property Paul …
An algebraic approach to the Askey scheme of orthogonal polynomials
P Terwilliger - … Polynomials and Special Functions: computation and …, 2006 - Springer
An Algebraic Approach to the Askey Scheme of Orthogonal Polynomials Page 1 An Algebraic
Approach to the Askey Scheme of Orthogonal Polynomials Paul Terwilliger Department of …
Approach to the Askey Scheme of Orthogonal Polynomials Paul Terwilliger Department of …