bokomslag Theory of Association Schemes
Vetenskap & teknik

Theory of Association Schemes

Paul-Hermann Zieschang

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  • 284 sidor
  • 2010
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 XX, 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 XX 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.
  • Författare: Paul-Hermann Zieschang
  • Format: Pocket/Paperback
  • ISBN: 9783642065569
  • Språk: Engelska
  • Antal sidor: 284
  • Utgivningsdatum: 2010-10-21
  • Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K