Moufang Polygons
Language: English
Published by Springer, 2002
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 107.70
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Add to basketItem description from seller
Druck auf Anfrage Neuware - Printed after ordering - Spherical buildings are certain combinatorial simplicial complexes intro duced, at first in the language of 'incidence geometries,' to provide a sys tematic geometric interpretation of the exceptional complex Lie groups. (The definition of a building in terms of chamber systems and definitions of the various related notions used in this introduction such as 'thick,' 'residue,' 'rank,' 'spherical,' etc. are given in Chapter 39. ) Via the notion of a BN-pair, the theory turned out to apply to simple algebraic groups over an arbitrary field. More precisely, to any absolutely simple algebraic group of positive rela tive rank £ is associated a thick irreducible spherical building of the same rank (these are the algebraic spherical buildings) and the main result of Buildings of Spherical Type and Finite BN-Pairs [101] is that the converse, for £ ::::: 3, is almost true: (1. 1) Theorem. Every thick irreducible spherical building of rank at least three is classical, algebraic' or mixed. Classical buildings are those defined in terms of the geometry of a classical group (e. g. unitary, orthogonal, etc. of finite Witt index or linear of finite dimension) over an arbitrary field or skew-field. (These are not algebraic if, for instance, the skew-field is of infinite dimension over its center. ) Mixed buildings are more exotic; they are related to groups which are in some sense algebraic groups defined over a pair of fields k and K of characteristic p, where KP eke K and p is two or (in one case) three.…
Seller Inventory # 9783540437147
- Title
- Moufang Polygons
- Author
- Richard M. Weiss
- Publisher
- Springer
- Publication year
- 2002
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3540437142
- ISBN 13
- 9783540437147
- Item weight
- 929 grams
- Dimensions
- 241x160x35 mm
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