The subconstituent algebra of an association scheme. I (Q685996)

scientific article; zbMATH DE number 427640

Language	Label	Description	Also known as
English	The subconstituent algebra of an association scheme. I	scientific article; zbMATH DE number 427640

Statements

instance of

scholarly article

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title

The subconstituent algebra of an association scheme. I (English)

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published in

Journal of Algebraic Combinatorics

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publication date

11 April 1994

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zbMATH Keywords

module

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commutative association schemes

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intersection numbers

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Krein parameters

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subconstituent algebra

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automorphism group

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conjectures

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open problems

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A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols

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Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials

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Q3218140

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Current research on algebraic combinatorics. Supplements to our book, Algebraic combinatorics I

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Q3211358

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Q3483796

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Q3762333

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Totient-numbers of the rectangular association scheme

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Q3936766

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Affine Distance-Transitive Groups

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Q3992965

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A new family of distance-regular graphs and the $\{ 0,1,2 \}$-cliques in dual polar graphs

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A strengthening of the Assmus-Mattson theorem

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Extending the t-Design Concept

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On Error-Correcting Codes and Invariant Linear Forms

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Distance biregular bipartite graphs

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Q5707657

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Association schemes and t-designs in regular semilattices

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Q4074938

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An addition theorem for some q-Hahn polynomials

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Association schemes of quadratic forms

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Characterization of H(n,q) by the parameters

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Distance-transitive representations of groups G with $PSL_ 2(q)\trianglelefteq G\leq P\Gamma L_ 2(q)$

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Galois correspondence between permutation groups and cellular rings (association schemes)

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Q4040884

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Distance-regularised graphs are distance-regular or distance-biregular

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The large cliques in the graph of quadratic forms

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Classification of the maximal cliques of size $\geq q+4$ in the quadratic forms graph in odd characteristic

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On the maximal cliques of the quadratic forms graph in even characteristic

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A characterization of the association schemes of bilinear forms

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Q3495388

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Amorphous association schemes over the Galois rings of characteristic 4

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On a new family of (P and Q)-polynomial schemes

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The association schemes of dual polar spaces of type $^ 2A_{2d- 1}(p^ f)$ are characterized by their parameters if $d\geq 3$

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Characterization of the association schemes of Hermitian forms over $GF(2^ 2)$

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A twisted version of the Frobenius-Schur indicator and multiplicity-free permutation representations

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Q3998925

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Directed distance regular graphs with the Q-polynomial property

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Non-symmetric, metric, cometric association schemes are self-dual

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Orthogonal Polynomials, Duality and Association Schemes

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Q3818326

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Q3831020

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Characterization of the odd graphs $O_ k $by parameters

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On nonsymmetric $P$- and $Q$-polynomial association schemes

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Characerization of a class of distance regular graphs.

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Krein conditions and near polygons

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Distance-regular graphs of Hamming type

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Intersection diagrams of distance-biregular graphs

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On local structure of a distance-regular graph of Hamming type

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Semiregular graphs and their algebra

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Distance Transitive Graphs and Finite Simple Groups

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Classification of a class of distance-regular graphs via completely regular codes

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Q3829476

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Q4099514

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A Lloyd theorem in weakly metric association schemes

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Harmonics on posets

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Some q-Krawtchouk Polynomials on Chevalley Groups

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't-designs' in H(d,q)

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A characterization of $P$- and $Q$-polynomial association schemes

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A class of distance-regular graphs that are $\phi$-polynomial

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Q3720610

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Leonard pairs and the $q$-Racah polynomials

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Root systems and the Johnson and Hamming graphs

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The classification of distance-regular graphs of type IIB

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The classification of finite connected hypermetric spaces

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Q3972080

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The Johnson graph $J(d,r)$ is unique if $(d,r)\neq (2,8)$

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P and Q polynomial schemes with $q=-1$

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Distance-regular graphs in block form

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Distance-regular digraphs of girth 4 over an extension ring of Z/4Z

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full work available at URL

https://doi.org/10.1023/a:1022494701663

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Identifiers

zbMATH Open document ID

0785.05089

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DOI

10.1023/A:1022494701663

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:685996