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: Clifford theory for group representations
  name:
    name part: Karpilovsky, Gregory
    name part: 1940-
    role:
      role term: creator
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    place:
      place term: Amsterdam
    place:
      place term: New York
    place:
      place term: New York, N.Y., U.S.A
    publisher: North-Holland
    publisher: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.
    date issued: ©1989
    date issued: 1989
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (x, 364 pages)
  abstract: Let N be a normal subgroup of a finite group G and let F be a field. An important method for constructing irreducible FG-modules consists of the application (perhaps repeated) of three basic operations: (i) restriction to FN. (ii) extension from FN. (iii) induction from FN. This is the `Clifford Theory' developed by Clifford in 1937. In the past twenty years, the theory has enjoyed a period of vigorous development. The foundations have been strengthened and reorganized from new points of view, especially from the viewpoint of graded rings and crossed products. The purpose of this monograph is to tie together various threads of the development in order to give a comprehensive picture of the current state of the subject. It is assumed that the reader has had the equivalent of a standard first-year graduate algebra course, i.e. familiarity with basic ring-theoretic, number-theoretic and group-theoretic concepts, and an understanding of elementary properties of modules, tensor products and fields.
  table of contents: Front Cover; Clifford Theory for Group Representations; Copyright Page; Preface; Contents; Chapter 1. Preliminaries; Chapter 2. Restriction to normal subgroups; Chapter 3. Induction and extension from normal subgroups; Bibliography; Notation; Index.
  note: Gregory Karpilovsky.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages 343-354) and index.
  subject:
    topic: Clifford algebras
  subject:
    topic: Representations of groups
  subject:
    topic: Algèbres de Clifford
  subject:
    topic: Représentations de groupes
  subject:
    topic: MATHEMATICS
    topic: Algebra
    topic: Linear
  subject:
    topic: Clifford algebras
  subject:
    topic: Representations of groups
  subject:
    topic: Clifford-Algebra
  subject:
    topic: Darstellungstheorie
  subject:
    topic: Clifford, Algèbres de
  subject:
    topic: Représentations de groupes
  classification: QA1 .N86 no. 125eb
  classification: QA199 .K37 1989eb
  classification: 510
  classification: 512/.57
  classification: SI 867
  related item:
    title info:
      title: Clifford theory for group representations
    name:
      name part: Karpilovsky, Gregory, 1940-
    origin info:
      publisher: Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., ©1989
    identifier: (DLC) 89003233
    identifier: (OCoLC)19456620
  related item:
    title info:
      title: North-Holland mathematics studies ; 156
  related item:
    title info:
      title: Notas de matemática (Rio de Janeiro, Brazil) ; no. 125
  identifier: 9780444873774
  identifier: 0444873775
  identifier: 9780080872674
  identifier: 0080872670
  identifier: 1281790575
  identifier: 9781281790576
  identifier: 89003233
  identifier: 119949:123203 Elsevier Science & Technology
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 090320
    record change date: 20260326161121.2
    record identifier: in00005736730
    language of cataloging:
      language term: eng