| 书目名称 | Moufang Polygons | | 编辑 | Jacques Tits,Richard M. Weiss | | 视频video | | | 概述 | Gives a complete classification of Moufang polygons, starting from first principles.Includes a totally new classification of the spherical buildings of rank 3 at least.J. Tits is one of the best and m | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | 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-fi | | 出版日期 | Book 2002 | | 关键词 | Buildings; Graph; algebra; classification; combinatorics; generalized polygons; graph theory; incidence geo | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-04689-0 | | isbn_softcover | 978-3-642-07833-0 | | isbn_ebook | 978-3-662-04689-0Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag Berlin Heidelberg 2002 |
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发表于 2025-3-21 19:56:53
