An edition of Diagram Geometry (2013)

Diagram Geometry

Related to Classical Groups and Buildings

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Last edited by ImportBot
February 26, 2022 | History
An edition of Diagram Geometry (2013)

Diagram Geometry

Related to Classical Groups and Buildings

  • 0 Ratings
  • 0 Want to read
  • 0 Currently reading
  • 0 Have read

This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on diagram geometries and the complete classification of those polar geometries whose projective planes are Desarguesian is given. It differs from Tits' comprehensive treatment in that it uses Veldkamp's embeddings.

The book intends to be a basic reference for those who study diagram geometry. Group theorists will find examples of the use of diagram geometry. Light on matroid theory is shed from the point of view of geometry with linear diagrams. Those interested in Coxeter groups and those interested in buildings will find brief but self-contained introductions into these topics from the diagrammatic perspective. Graph theorists will find many highly regular graphs.

The text is written so graduate students will be able to follow the arguments without needing recourse to further literature.

A strong point of the book is the density of examples.

Publish Date
Language
English
Pages
592

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Previews available in: English

Edition Availability
Cover of: Diagram Geometry
Diagram Geometry: Related to Classical Groups and Buildings
Feb 08, 2015, Springer
paperback
Cover of: Diagram Geometry
Diagram Geometry: Related to Classical Groups and Buildings
Jan 26, 2013, Springer, Brand: Springer
hardcover
Cover of: Diagram Geometry
Diagram Geometry: Related to Classical Groups and Buildings
2013, Springer Berlin Heidelberg, Imprint: Springer
electronic resource : in English

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Book Details


Table of Contents

<p>1. Geometries
2. Diagrams
3. Chamber Systems
4. Thin Geometries
5. Linear Geometries
6. Projective and Affine Spaces
7. Polar Spaces
8. Projective Embeddings of Polar Spaces
9. Embedding Polar Spaces in Absolutes
10. Classical Polar Spaces
11. Buildings
Bibliography
Index.</p>.

Edition Notes

Published in
Berlin, Heidelberg
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics -- 57

Classifications

Dewey Decimal Class
516
Library of Congress
QA440-699, QA471 .B795 2013

The Physical Object

Format
[electronic resource] :
Pagination
XIII, 592 p. 108 illus.
Number of pages
592

ID Numbers

Open Library
OL27030994M
Internet Archive
diagramgeometryr00buek
ISBN 13
9783642344534
LCCN
2013930009

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History

Download catalog record: RDF / JSON
February 26, 2022 Edited by ImportBot import existing book
November 12, 2020 Edited by MARC Bot import existing book
June 29, 2019 Created by MARC Bot import new book