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This work, covering progress in algebraic combinatorics, is part of the "Advanced Studies in Pure Mathematics" series.This volume consists of thirteen papers on algebraic combinatorics and related areas written by leading experts around the world. There are four survey papers illustrating the following currently active branches of algebraic combinatorics: vertex operaor algebras, spherical designs, Kerdock codes and related combinatorial objects, and geometry of matrices. The remaining nine papers are original research articles covering a wide range of disciplines, from classical topics such as permutation groups and finite geometry, to modern topics such as spin models and invariants of 3-manifolds. Two papers occupy nearly half the volume and present a comprehensive account of new concepts: "Combinatorial Cell Complexes" by M. Aschbacher and "Quantum Matroids" by P. Terwilliger. Terwilliger's theory of quantum matroids unites a part of the theory of finite geometries and a part of the theory of distance-regular graphs -- great progress is expected in this field. K. Nomura's paper bridges the classical and the modern by establishing a connection between certain bipartite distance-regular graphs and spin models. This book is intended for researchers in pure mathematics. |
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| Author(s) : | Format : Hardback Book |
| ISBN-10 : 4314101199 | ISBN-13 : 9784314101196 |
| RRP : £52.50 | Best available price : £ / $ |
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Series Title : Advanced Studies in Pure Mathematics
Country Publication : Japan
Publication Date : 01/11/1996
Publisher : American Mathematical Society
Page Length : 453mm
Page Size : 230mm