Theory of Association Schemes
The present text is an introduction to the theory of association schemes. We start with the de?nition of an association scheme (or a scheme as we shall say brie?y), and in order to do so we ?x a set and call it X. We write 1 to denote the set of all pairs (x,x) with x? X. For each subset X ? r of th...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2005.
Cham : Springer Nature |
| coleção: | Springer Monographs in Mathematics
|
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Theory of Association Schemes, Texte imprimé, 9783642065569 • Theory of Association Schemes, Texte imprimé, 9783540811435 • Theory of Association Schemes, Texte imprimé, 9783540261360 |
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| 008 | 080409s2005 xx ||| |||| 00| 0 eng d | ||
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| 020 | |a 9783540305934 | ||
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| 100 | 1 | |a Zieschang, Paul-Hermann. | |
| 245 | 1 | 0 | |a Theory of Association Schemes |c by Paul-Hermann Zieschang. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c 2005. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Basic Facts -- Closed Subsets -- Generating Subsets -- Quotient Schemes -- Morphisms -- Faithful Maps -- Products -- From Thin Schemes to Modules -- Scheme Rings -- Dihedral Closed Subsets -- Coxeter Sets -- Spherical Coxeter Sets. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The present text is an introduction to the theory of association schemes. We start with the de?nition of an association scheme (or a scheme as we shall say brie?y), and in order to do so we ?x a set and call it X. We write 1 to denote the set of all pairs (x,x) with x? X. For each subset X ? r of the cartesian product X.X, we de?ne r to be the set of all pairs (y,z) with (z,y)? r.For x an element of X and r a subset of X. X, we shall denote by xr the set of all elements y in X with (x,y)? r. Let us ?x a partition S of X.X with?? / S and 1 ? S, and let us assume X ? that s ? S for each element s in S. The set S is called a scheme on X if, for any three elements p, q,and r in S, there exists a cardinal number a such pqr ? that/yp?zq/ = a for any two elements y in X and z in yr. pqr The notion of a scheme generalizes naturally the notion of a group, and we shall base all our considerations on this observation. Let us, therefore, brie?y look at the relationship between groups and schemes. | ||
| 776 | 0 | |t Theory of Association Schemes |b Texte imprimé |z 9783642065569 | |
| 776 | 0 | |t Theory of Association Schemes |b Texte imprimé |z 9783540811435 | |
| 776 | 0 | |t Theory of Association Schemes |b Texte imprimé |z 9783540261360 | |
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