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: Lie algebras
    sub title: finite and infinite dimensional Lie algebras and applications in physics
  name:
    name part: Bäuerle, G. G. A. (Gerard G. A.)
    role:
      role term: creator
  name:
    name part: Kerf, E. A. de (Eddy A.)
  name:
    name part: Kroode, A. P. E. ten.
  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, the Netherlands
    place:
      place term: New York, N.Y
    publisher: North-Holland
    publisher: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.
    date issued: ©1990-©1997
    date issued: 1990
    date issued: 1997
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (2 volumes) : illustrations
  abstract: This is the long awaited follow-up to Lie Algebras, Part I which covered a major part of the theory of Kac-Moody algebras, stressing primarily their mathematical structure. Part II deals mainly with the representations and applications of Lie Algebras and contains many cross references to Part I. The theoretical part largely deals with the representation theory of Lie algebras with a triangular decomposition, of which Kac-Moody algebras and the Virasoro algebra are prime examples. After setting up the general framework of highest weight representations, the book continues to treat topics as the Casimir operator and the Weyl-Kac character formula, which are specific for Kac-Moody algebras. The applications have a wide range. First, the book contains an exposition on the role of finite-dimensional semisimple Lie algebras and their representations in the standard and grand unified models of elementary particle physics. A second application is in the realm of soliton equations and their infinite-dimensional symmetry groups and algebras. The book concludes with a chapter on conformal field theory and the importance of the Virasoro and Kac-Moody algebras therein.
  table of contents: Extensions of Lie algebras -- Explicit construction of affine Kac-Moody algebras -- Representations-nenveloping algebr a techniques -- The Weyl group and integrable representations -- More on representations -- Characters and multiplicities -- Quarks, leptons and gauge fields -- Lie algebras of infinite matrices -- Representations of loop algebras -- KP-hierarchies -- Conformal symmetry.
  note: G.G.A. Bäuerle, E.A. de Kerf.
  note: Pt. 2 authors: E.A. de Kerf, G.G.A. Bäuerle, A.P.E. ten Kroode.
  note: Pt. 2 lacks distributor statement.
  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 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references and indexes.
  subject:
    topic: Lie algebras
  subject:
    topic: Mathematical physics
  subject:
    topic: Algèbres de Lie
  subject:
    topic: Physique mathématique
  subject:
    topic: Lie algebras
  subject:
    topic: Mathematical physics
  subject:
    topic: Lie-algebra's
  subject:
    topic: Physique mathématique
  subject:
    topic: Lie, Algèbres de
  classification: QC20.7.L54 B38eb
  classification: 512/.55
  classification: 31.30
  related item:
    title info:
      title: Lie algebras
    name:
      name part: Bäuerle, G.G.A. (Gerard G.A.).
    origin info:
      publisher: Amsterdam, the Netherlands : North-Holland ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., ©1990-©1997
    identifier: (DLC) 90014231
    identifier: (OCoLC)22382442
  related item:
    title info:
      title: Studies in mathematical physics ; v. 1, 7
  identifier: 9780444828361
  identifier: 0444828362
  identifier: 0080535461
  identifier: 9780080535463
  identifier: 0444887768
  identifier: 9780444887764
  identifier: 122338:126542 Elsevier Science & Technology
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 070806
    record change date: 20260326152024.9
    record identifier: in00005733207
    language of cataloging:
      language term: eng