rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Buildings
    sub title: Theory and Applications
  name:
    name part: Abramenko, Peter.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Brown, Kenneth S.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2008
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXII, 754 p. 100 illus. online resource.
  abstract: This book treats Jacques Tits's beautiful theory of buildings, making that theory accessible to readers with minimal background. It includes all the material of the earlier book Buildings by the second-named author, published by Springer-Verlag in 1989, which gave an introduction to buildings from the classical (simplicial) point of view. This new book also includes two other approaches to buildings, which nicely complement the simplicial approach: On the one hand, buildings may be viewed as abstract sets of chambers with a Weyl-group-valued distance function; this point of view has become increasingly important in the theory and applications of buildings. On the other hand, buildings may be viewed as metric spaces. Beginners can still use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher. There are several paths through the book, so that readers may choose to concentrate on one particular approach. The pace is gentle in the elementary parts of the book, and the style is friendly throughout. All concepts are well motivated. There are thorough treatments of advanced topics such as the Moufang property, with arguments that are much more detailed than those that have previously appeared in the literature. This book is suitable as a textbook, with many exercises, and it may also be used for self-study.
  table of contents: Finite Reflection Groups -- Coxeter Groups -- Coxeter Complexes -- Buildings as Chamber Complexes . -- Buildings as W-Metric Spaces -- Buildings and Groups -- Root Groups and the Moufang Property . -- Moufang Twin Buildings and RGD Systems -- The Classification of Spherical Buildings -- Euclidean and Hyperbolic Reflection Groups -- Euclidean Buildings . -- Buildings as Metric Spaces -- Applications to the Cohomology of Groups -- Other Applications.
  note: by Peter Abramenko, Kenneth S. Brown.
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic geometry
  subject:
    topic: Group theory
  subject:
    topic: Topological groups
  subject:
    topic: Lie groups
  subject:
    topic: Mathematics
  subject:
    topic: Group Theory and Generalizations
  subject:
    topic: Algebraic Geometry
  subject:
    topic: Topological Groups, Lie Groups
  classification: QA174-183
  classification: 512.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Graduate Texts in Mathematics, 248
  identifier: 9780387788357
  identifier: http://dx.doi.org/10.1007/978-0-387-78835-7
  record info:
    record creation date: 110402
    record change date: 20151204151800.0
    record identifier: 978-0-387-78835-7