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:
    non sort: An
    title: introduction to Clifford algebras and spinors
  title info:
    title: Clifford algebras and spinors
  name:
    name part: Vaz Jr., Jayme
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Rocha Jr., Roldão da
    name part: 1976-
    role:
      role term: author.
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 2016
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: This book is unique compared to the existing literature. It is very didactical and accessible to both students and researchers, without neglecting the formal character and the deep algebraic completeness of the topic along with its physical applications.
  table of contents: Preface; Acknowledgements; Contents; 1 Preliminaries ; 1.1 Vectors and Covectors; 1.2 The Tensor Product; 1.3 Tensor Algebra; 1.4 Exercises; 2 Exterior Algebra and Grassmann Algebra; 2.1 Permutations and the Alternator; 2.2 p-Vectors and p-Covectors; 2.3 The Exterior Product; 2.4 The Exterior Algebra ˄(V); 2.5 The Exterior Algebra as the Quotient of the Tensor Algebra; 2.6 The Contraction, or Interior Product; 2.7 Orientation, and Quasi-Hodge Isomorphisms; 2.8 The Regressive Product; 2.9 The Grassmann Algebra; 2.10 The Hodge Isomorphism; 2.11 Additional Readings; 2.12 Exercises
  table of contents: 3 Clifford, or Geometric, Algebra3.1 Definition of a Clifford Algebra; 3.2 Universal Clifford Algebra as a Quotient of the Tensor Algebra; 3.3 Some General Considerations; 3.4 From the Grassmann Algebra to the Clifford Algebra; 3.5 Grassmann Algebra versus Clifford Algebra; 3.6 Notation; 3.7 Additional Readings; 3.8 Exercises; 4 Classification and Representation of the Clifford Algebras; 4.1 Theorems on the Structure of Clifford Algebras; 4.2 The Classification of Clifford Algebras; 4.3 Idempotents and Representations; 4.4 Clifford Algebra Representations; 4.5 Additional Readings.
  table of contents: 4.6 Exercises5 Clifford Algebras, and Associated Groups; 5.1 Orthogonal Transformations and the Cartan-Dieudonné Theorem; 5.2 The Clifford-Lipschitz Group; 5.3 The Pin Group and the Spin Group; 5.4 Conformal Transformations in Clifford Algebras; 5.5 Additional Readings; 5.6 Exercises; 6 Spinors; 6.1 The Babel of Spinors; 6.2 Algebraic Spinors; 6.3 Classical Spinors; 6.4 Spinor Operators; 6.5 A Comparison of the Different Definitions of Spinors; 6.6 The Inner Product in the Space of Algebraic Spinors; 6.7 The Triality Principle in the Clifford Algebraic Context; 6.8 Pure Spinors.
  table of contents: 6.9 Dual Rotations, and the Penrose Flagpole6.10 Weyl Spinors in Cl3,0; 6.11 Weyl Spinors in the Clifford Algebra Cl0,3 C"H H; 6.12 Spinor Transformations; 6.13 Spacetime Vectors as Paravectors of cl3,0 from Weyl Spinors; 6.14 Paravectors of Cl4,1 cl3,0 in via the Periodicity Theorem; 6.15 Twistors as Geometric Multivectors; 6.16 Spinor Classi cation According to Bilinear Covariants; 6.17 Additional Readings; 6.18 Exercises; Appendix A The Standard Two-Component Spinor Formalism; A.1 Weyl Spinors; A.2 Contravariant Undotted Spinors; A.3 Covariant Undotted Spinors.
  table of contents: A.4 Contravariant Dotted SpinorsA. 5 Covariant Dotted Spinors; A.6 Null Flags and Flagpoles; A.7 The Supersymmetry Algebra; Appendix B List of Symbols; References; Index.
  note: Jayme Vaz, Jr. and Roldão da Rocha, Jr.
  note: Includes bibliographical references (pages 231-237) and index.
  subject:
    topic: Clifford algebras
  subject:
    topic: Algèbres de Clifford
  subject:
    topic: MATHEMATICS
    topic: Algebra
    topic: Intermediate
  subject:
    topic: Clifford algebras
  classification: QC20.7.C55
  classification: 512.5/7
  related item:
    identifier: (OCoLC)933337412
  identifier: 9780191826146
  identifier: 0191826146
  identifier: 9780191085789
  identifier: 0191085782
  identifier: 9780198782926
  identifier: 0198782926
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: YDXCP
    record creation date: 160329
    record change date: 20260319162132.4
    record identifier: in00005713179
    language of cataloging:
      language term: eng