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Groups of Exceptional Type, Coxeter Groups and Related Geometries

  • N.S. Narasimha Sastry
Conference proceedings

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 82)

Table of contents

  1. Front Matter
    Pages i-xiv
    PDF
  2. A Classification of Curtis-Tits Amalgams
    Rieuwert J. Blok, Corneliu G. Hoffman
    Pages 1-26
  3. The Use of Valuations for Classifying Point-Line Geometries
    Bart De Bruyn
    Pages 27-40
  4. An Outline of Polar Spaces: Basics and Advances
    Ilaria Cardinali
    Pages 41-74
  5. Embeddings of Line-Grassmannians of Polar Spaces in Grassmann Varieties
    I. Cardinali, A. Pasini
    Pages 75-109
  6. Generation of Lie Incidence Geometries: A Survey
    Bruce N. Cooperstein
    Pages 111-121
  7. Witt-Type Theorems for Subspaces of Lie Geometries: A Survey
    Bruce N. Cooperstein
    Pages 123-133
  8. Embeddings of Cotriangular Spaces
    Hans Cuypers, Jos in ’t Panhuis
    Pages 135-145
  9. Unipotent Overgroups in Simple Algebraic Groups
    Iulian I. Simion, Donna M. Testerman
    Pages 147-158
  10. The Axes of a Majorana Representation of \(A_{12}\)
    A. Castillo-Ramirez, A. A. Ivanov
    Pages 159-188
  11. GIT Related Problems of the Flag Variety for the Action of a Maximal Torus
    S. Senthamarai Kannan
    Pages 189-203
  12. Characterizations of Trialities of Type \(\mathrm {I}_{\mathsf {id}}\) in Buildings of Type \(\mathsf {D}_4\)
    Hendrik Van Maldeghem
    Pages 205-216
  13. On the Isomorphism Problem for Coxeter Groups and Related Topics
    Koji Nuida
    Pages 217-238
  14. Lectures on Artin Groups and the \(K(\pi ,1)\) Conjecture
    Luis Paris
    Pages 239-257
  15. Algebraic Codes and Geometry of Some Classical Generalized Polygons
    N. S. Narasimha Sastry
    Pages 259-278
  16. Some Weyl Modules of the Algebraic Groups of Type \(E_6\)
    Peter Sin
    Pages 279-300
  17. Back Matter
    Pages 301-304
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About these proceedings

Introduction

The book deals with fundamental structural aspects of algebraic and simple groups, Coxeter groups and the related geometries and buildings. All contributing authors are very active researchers in the topics related to the theme of the book. Some of the articles provide the latest developments in the subject; some provide an overview of the current status of some important problems in this area; some survey an area highlighting the current developments; and some provide an exposition of an area to collect problems and conjectures. It is hoped that these articles would be helpful to a beginner to start independent research on any of these topics, as well as to an expert to know some of the latest developments or to consider some problems for investigation.

Keywords

Buekenhout Geometries Coxeter Groups Groups of Exceptional Type Moufang Sets Spherical Buildings

Editors and affiliations

  • N.S. Narasimha Sastry
    • 1
  1. 1.Stat Math UnitIndian Statistical InstituteBangaloreIndia

Bibliographic information