| 書目名稱 | Theory of Association Schemes | | 編輯 | Paul-Hermann Zieschang | | 視頻video | http://file.papertrans.cn/924/923763/923763.mp4 | | 概述 | Conceptual approach to association schemes is emphasized.First rigorous treatment of the structure theory of schemes. Schemes are considered not necessarily to be commutative or finite. As a byproduct | | 叢書名稱 | Springer Monographs in Mathematics | | 圖書封面 |  | | 描述 | 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. | | 出版日期 | Book 2005 | | 關鍵詞 | Arithmetic; Morphism; algebra; association scheme; building; group; proof; theorem; combinatorics | | 版次 | 1 | | doi | https://doi.org/10.1007/3-540-30593-9 | | isbn_softcover | 978-3-642-06556-9 | | isbn_ebook | 978-3-540-30593-4Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag Berlin Heidelberg 2005 |
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