Moufang Polygons (Hardcover, 2002 ed.)

This book gives the complete classification of Moufang polygons, starting from first principles. In particular, it may serve as an introduction to the various important algebraic concepts which arise in this classification including alternative division rings, quadratic Jordan division algebras of degree three, pseudo-quadratic forms, BN-pairs and norm splittings of quadratic forms. This book also contains a new proof of the classification of irreducible spherical buildings of rank at least three based on the observation that all the irreducible rank two residues of such a building are Moufang polygons. In an appendix, the connection between spherical buildings and algebraic groups is recalled and used to describe an alternative existence proof for certain Moufang polygons.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Monographs in Mathematics
Release date:	September 2002
First published:	2002
Authors:	Jacques Tits • Richard M. Weiss
Dimensions:	235 x 155 x 30mm (L x W x T)
Format:	Hardcover
Pages:	535
Edition:	2002 ed.
ISBN-13:	978-3-540-43714-7
Categories:	Books > Science & Mathematics > Mathematics > Combinatorics & graph theory Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Geometry > General
LSN:	3-540-43714-2
Barcode:	9783540437147

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