Higher Combinatorics: Proceedings of the NATO Advanced Study Institute Held in Berlin (West Germany), September 1–10, 1976M. Aigner It is general consensus that Combinatorics has developed into a full-fledged mathematical discipline whose beginnings as a charming pastime have long since been left behind and whose great signifi cance for other branches of both pure and applied mathematics is only beginning to be realized. The last ten years have witnessed a tremendous outburst of activity both in relatively new fields such as Coding Theory and the Theory of Matroids as well as in' more time honored endeavors such as Generating Functions and the Inver sion Calculus. Although the number of text books on these subjects is slowly increasing, there is also a great need for up-to-date surveys of the main lines of research designed to aid the beginner and serve as a reference for the expert. It was the aim of the Advanced Study Institute "Higher Combinatorics" in Berlin, 1976, to help fulfill this need. There were five sections: I. Counting Theory, II. Combinatorial Set Theory and Order Theory, III. Matroids, IV. Designs and V. Groups and Coding Theory, with three principal lecturers in each section. Expanded versions of most lectures form the contents of this book. The Institute was designed to offer, especially to young researchers, a comprehen sive picture of the most interesting developments currently under way. It is hoped that these proceedings will serve the same purpose for a wider audience. |
Contents
THE ROLE OF EULERIAN SERIES | 3 |
G E Andrews and R Askey 3 | 18 |
DISTRIBUTIONS EULÉRIENNES ET MAHONIENNES SUR LE GROUPE | 27 |
Copyright | |
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Higher Combinatorics: Proceedings of the NATO Advanced Study Institute held ... M. Aigner Limited preview - 2012 |
Higher Combinatorics: Proceedings of the NATO Advanced Study Institute held ... M. Aigner No preview available - 2011 |
Common terms and phrases
affine geometries algebraic Amer automorphism group b₁ base-orderable basis-transitive biplane bivariée block Carlitz chain partition characterization Cohen-Macaulay colour combinatorial combinatorial geometry complete classes construction cyclic flats defined définis denote e-error-correcting égal elements example finite lattice Foata Foata-Schützenberger function G.E. Andrews graph group G Higher Combinatorics hyperplane identities IMAJ indep induction infinite integers IRISE isomorphic J.A. Thas J.H. van Lint lemma linear London Math M₁ M₂ mahoniennes matrix modular lattices nombres eulériens P₁ parallel parameters partial geometries partially ordered set perfect codes permutation groups plane of order points polynomials primitive problem Proc projective plane proof q-analogue quadrangle rank relation representation resp result RISE Rogers-Ramanujan identities simplicial matroids stabiliser statistique eulérienne Steiner system Steiner triple system strict gammoids strong map subsets t-transitive Theorem 13 theory tout transitive transversal geometry transversal matroids uniformly packed code unique Univ V-code