Theory of Association Schemes

2005
ISBN: 978-3-540-26136-0
Verlag: Springer

Buch, Englisch, 284 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1320 g

Reihe: Springer Monographs in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Zieschang, Paul-Hermann

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines

Inhaltsverzeichnis

Basic Facts.- Closed Subsets.- Generating Subsets.- Quotient Schemes.- Morphisms.- Faithful Maps.- Products.- From Thin Schemes to Modules.- Scheme Rings.- Dihedral Closed Subsets.- Coxeter Sets.- Spherical Coxeter Sets.

Über Autor(innen)

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.