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: Group theory in physics
    part number: Volume III
    part name: Supersymmetries and infinite-dimensional algebras
  title info:
    title: Supersymmetries and infinite-dimensional algebras
  name:
    name part: Cornwell, J. F.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: enk
    date issued: 1989
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xxii, 628 pages)
  abstract: Recent devopments, particularly in high-energy physics, have projected group theory and symmetry consideration into a central position in theoretical physics. These developments have taken physicists increasingly deeper into the fascinating world of pure mathematics. This work presents important mathematical developments of the last fifteen years in a form that is easy to comprehend and appreciate.
  table of contents: Front Cover; Supersymmetries and Infinite-Dimensional Algebras; Copyright Page; Preface; Table of Contents; Contents of Volume I; Contents of Volume II; Part D: Lie Superalgebras, Lie Supergroups and their Applications; Chapter 20. Introduction to Superalgebras and Supermatrices; 1 The notion of grading; 2 Associative superalgebras; 3 Grassmann algebras; 4 Supermatrices; Chapter 21. General Properties of Lie Superalgebras; 1 Lie superalgebras introduced; 2 Definitions and immediate consequences; 3 Subalgebras, direct sums and homomorphisms of Lie superalgebras.
  table of contents: 4 Graded representations of Lie superalgebras5 The adjoint representation and the Killing form of a Lie superalgebra; Chapter 22. Superspace and Lie Supergroups; 1 Grassmann variables as coordinates; 2 Analysis on superspace; 3 Linear Lie supergroups; Chapter 23. The Poincaré Superalgebras and Supergroups; 1 Introduction; 2 The N = 1, D = 4 Poincaré superalgebra and supergroup; 3 Extended Poincaré superalgebras and Poincaré supergroups for D = 4; 4 The Poincaré superalgebras and supergroups for Minkowski space-times of general dimension D.
  table of contents: 5 Irreducible representations of the unextended D = 4 Poincaré superalgebra6 Irreducible representations of the extended D = 4 Poincaré superalgebras; 7 Irreducible representations of the Poincaré superalgebras for general space-time dimensions; Chapter 24. Poincaré Supersymmetric Fields; 1 Supersymmetric field theory; 2 Supersymmetric multiplets; 3 Superfields; 4 Supersymmetric gauge theories; 5 Spontaneous symmetry breaking; Chapter 25. Simple Lie Superalgebras; 1 An outline of the presentation; 2 The definition of a simple Lie superalgebra and some immediate consequences.
  table of contents: 3 Classical simple Lie superalgebras4 Graded representations of basic classical simple complex Lie superalgebras; 5 The classical simple real Lie superalgebras; 6 The conformal, de Sitter and anti-de Sitter superalgebras; Part E: Infinite-Dimensional Lie Algebras and Superalgebras and their Applications; Chapter 26. The Structure of Kac-Moody Algebras; 1 Introduction to infinite-dimensional Lie algebras; 2 Construction of Kac-Moody algebras; 3 Properties of general Kac-Moody algebras; 4 Types of complex Kac-Moody algebras; 5 Affine Kac-Moody algebras; 6 Kac-Moody superalgebras.
  table of contents: Chapter 27. Representations of Kac-Moody Algebras1 Highest weight representations of general Kac-Moody algebras; 2 Highest weight representations of affine Kac-Moody algebras; 3 Character formulae; 4 The vertex construction of the basic representation of a simply laced untwisted affine Kac-Moody algebra; 5 Representations of untwisted affine Kac-Moody algebras in terms of fermion creation and annihilation operators; Chapter 28. The Virasoro Algebra and Superalgebras; 1 The conformal algebras; 2 Representations of the Virasoro algebra.
  note: J.F. Cornwell.
  subject:
    topic: Group theory
  subject:
    topic: Mathematical physics
  subject:
    topic: Théorie des groupes
  subject:
    topic: Physique mathématique
  subject:
    topic: SCIENCE
    topic: Energy
  subject:
    topic: SCIENCE
    topic: Mechanics
    topic: General
  subject:
    topic: SCIENCE
    topic: Physics
    topic: General
  subject:
    topic: Group theory
  subject:
    topic: Mathematical physics
  subject:
    topic: Groupes, Théorie des
  subject:
    topic: Physique mathématique
  classification: QC20.7.G76
  classification: 530.1522
  related item:
    title info:
      title: Group theory in physics
    name:
      name part: Cornwell, J.F. (John Francis), 1937-
    identifier: (OCoLC)20012895
  related item:
    title info:
      title: Techniques of physics ; 10
  identifier: 9781483288376
  identifier: 1483288374
  identifier: 9780121898052
  identifier: 0121898067
  identifier: 9780121898069
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 141007
    record change date: 20260326210924.8
    record identifier: in00005756683
    language of cataloging:
      language term: eng