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Mathematics

Algebraic Approach to Association Schemes, Springer
Theory of Association Schemes


An Algebraic Approach to Association SchemesAn Algebraic Approach to Association Schemes, Springer Lecture Notes in Mathematics Vol. 1628
Paul-Hermann Zieschang

The book, “An Algebraic Approach to Association Schemes,” is a first attempt of a systematic development of structural aspects of scheme theory. A fully developed scheme theory would cover major aspects of group theory as well as an algebraic treatment of large classes of important geometries such as buildings (projective geometry, polar spaces) and Moore geometries. The theory developed in this volume covers the scheme-theoretical generalizations of some of the fundamental group-theoretical results of the 19th and 20th centuries of Camille Jordan, Otto Hoelder, Emmy Noether, and Hans Zassenhaus.

Berlin and Heidelberg, Germany: Springer, 1996 (Soft cover, $52.95). Available from the Springer website and major booksellers.

Zieschang is a professor in the Mathematics Department.

 

Theory of Association SchemesTheory of Association Schemes
Paul-Hermann Zieschang

“Theory of Association Schemes” is the first concept-oriented treatment of the structure theory of association schemes. It contains several recent results which appear for the first time in book form. 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. Also a scheme theoretic characterization of Glauberman’s Z-involutions is included. The text is selfcontained and accessible for advanced undergraduate students.

Berlin, Heidelberg, New York: Springer Publishing Co. (Springer Monographs in Mathematics), 2005 (Hard cover, $99). Available from the Springer website and major booksellers.

Zieschang is a professor in the Mathematics Department.

 

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