Authors:
- 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, the theory covers (disguised as ‘Coxeter schemes’) the theory of buildings in the sense of Jacques Tits
- Recent results such as the generalization of Sylow’s group-theoretical theorems to scheme theory and the characterization of Glauberman’s Z*-involutions in terms of scheme theory appear for the first time in book form
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
"Theory of association schemes is a self-contained textbook. … The theory of association schemes can be applied to Hecke algebras of transitive permutation groups, and the algebras are usually noncommutative. So this treatment is also good for group theorists. … The book under review also contains many recent developments in the theory." (Akihide Hanaki, Mathematical Reviews, 2006 h)
Authors and Affiliations
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Department of Mathematics, University of Texas at Brownsville, Brownsville, USA
Paul-Hermann Zieschang
About the author
Paul-Hermann Zieschang received a Doctor of Natural Sciences and the Habilitation in Mathematics from the Christian-Albrechts-Universität zu Kiel. He is also Extraordinary Professor of the Christian-Albrechts-Universität zu Kiel. Presently, he holds the position of an Associate Professor at the University of Texas at Brownsville. He held visiting positions at Kansas State University and at Kyushu University in Fukuoka.
Bibliographic Information
Book Title: Theory of Association Schemes
Authors: Paul-Hermann Zieschang
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/3-540-30593-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2005
Hardcover ISBN: 978-3-540-26136-0Published: 20 October 2005
Softcover ISBN: 978-3-642-06556-9Published: 21 October 2010
eBook ISBN: 978-3-540-30593-4Published: 19 December 2005
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XVI, 284
Topics: Group Theory and Generalizations, Combinatorics, Geometry