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: Algebra IX
    sub title: Finite Groups of Lie Type Finite-Dimensional Division Algebras
  name:
    name part: Kostrikin, A. I.
    role:
      role term: creator
  name:
    name part: Shafarevich, I. R.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1996
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (vii, 243 pages)
  abstract: The finite groups of Lie type are of central mathematical importance and the problem of understanding their irreducible representations is of great interest. The representation theory of these groups over an algebraically closed field of characteristic zero was developed by P. Deligne and G. Lusztig in 1976 and subsequently in a series of papers by Lusztig culminating in his book in 1984. The purpose of the first part of this book is to give an overview of the subject, without including detailed proofs. The second part is a survey of the structure of finite-dimensional division algebras with many outline proofs, giving the basic theory and methods of construction and then goes on to a deeper analysis of division algebras over valuated fields. An account of the multiplicative structure and reduced K-theory presents recent work on the subject, including that of the authors. Thus it forms a convenient and very readable introduction to a field which in the last two decades has seen much progress.
  note: edited by A.I. Kostrikin, I.R. Shafarevich.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Geometry, Algebraic
  subject:
    topic: Group theory
  subject:
    topic: K-theory
  subject:
    topic: Number theory
  subject:
    topic: Geometry, Algebraic
  subject:
    topic: Group theory
  subject:
    topic: K-theory
  subject:
    topic: Mathematics
  subject:
    topic: Number theory
  classification: QA174-183
  classification: 512.2
  related item:
    title info:
      title: Encyclopaedia of mathematical sciences ; 77
  identifier: 9783662032350 (electronic bk.)
  identifier: 366203235X (electronic bk.)
  identifier: 9783642081675
  identifier: 3642081673
  identifier: 366203235X
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130321
    record change date: 20260422204156.5
    record identifier: in00003576689
    language of cataloging:
      language term: eng