by Paul-HermannZieschang (Author)
This book is a concept-oriented treatment of the structure theory of association schemes. The generalization of Sylow's group theoretic theorems to scheme theory arises as a consequence of arithmetical considerations about quotient schemes. The theory of Coxeter schemes (equivalent to the theory of buildings) emerges naturally and yields a purely algebraic proof of Tits' main theorem on buildings of spherical type.
Format: Hardcover
Pages: 283
Publisher: Springer
Published: 20 Oct 2005
ISBN 10: 3540261362
ISBN 13: 9783540261360
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)
Paul-Hermann Zieschang received a Doctor of Natural Sciences and the Habilitation in Mathematics from the Christian-Albrechts-Universitat zu Kiel. He is also Extraordinary Professor of the Christian-Albrechts-Universitat 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.