Mendeley出力
＜図書＞
Lectures on buildings
| 責任表示 | Mark Ronan |
|---|---|
| データ種別 | 図書 |
| 版 | Updated and rev |
| 出版情報 | Chicago : University of Chicago Press , 2009 |
| 本文言語 | 英語 |
| 大きさ | xii, 228 p. : ill. ; 23 cm |
| 概要 | In mathematics, buildings are geometric structures primarily representing groups of Lie type. They are important to physicists and mathematicians working in discrete mathematics, simple groups, and al...ebraic group theory, to name just a few areas.続きを見る |
| 目次 | Chamber systems and examples Chamber systems Two examples of buildings Exercises Coxeter complexes Coxeter groups and complexes Words and galleries Reduced words and homotopy Finite coxeter complexes Self-homotopy Exercises Buildings A definition of buildings Generalised m-gons - the rank 2 case Residues and apartments Exercises Local properties and coverings Chamber systems of type m Coverings and the fundamental group The universal cover Examples Exercises Bn - pairs Tits systems and buildings Parabolic subgroups Exercises Buildings of spherical type and root groups Some basic lemmas Root groups and the moufang property Commutator relations Moufang buildings - the general case Exercises A construction of buildings Blueprints Natural labellings of moufang buildings Foundations Exercises The classification of spherical buildings 1.a3 blueprints and foundations Diagrams with single bonds C3 foundations Cn buildings for n > 4 Tits diagrams and f4 buildings Finite buildings Exercises Affine buildings I Affine coxeter complexes and sectors The affine building an-1 (k,v) The spherical building at infinity The proof of (9.5) Exercises Affine buildings II Apartment systems, trees and projective valuations Trees associated to walls and panels at infinity Root groups with a valuation Construction of an affine bn-pair The classification An application Exercises Twin buildings Twin buildings and kac-moody groups Twin trees Twin apartments An example: affine twin buildings Residues, rigidity, and proj 2-spherical twin buildings The moufang property and root group data Twin trees again Appendix 1: moufang polygons The m-function The natural labelling for a moufang plane The non-existence theorem Appendix 2: diagrams for moufang polygons Appendix 3: non-discrete buildings Appendix 4: topology and the steinberg representation Appendix 5: finite coxeter groups Appendix 6: finite buildings and groups of lie type.続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
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pbk. | 理系図3F 数理独自 | RONA/10/1 | 2009 |
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023212009004538 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. [216]-221) and index |
|---|---|
| 著者標目 | *Ronan, Mark |
| 件 名 | LCSH:Buildings (Group theory) LCSH:Finite geometries LCSH:Finite groups |
| 分 類 | DC22:512.2 |
| 書誌ID | 1001391968 |
| ISBN | 9780226724997 |
| NCID | BA91489621 |
| 巻冊次 | : pbk ; ISBN:9780226724997 |
| NBN | 015174711 |
| 登録日 | 2009.11.02 |
| 更新日 | 2009.11.02 |