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Clifford Algebras and Spinor Structures

A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919–1992)

  • Rafał Ablamowicz
  • Pertti Lounesto

Part of the Mathematics and Its Applications book series (MAIA, volume 321)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Historical Survey

    1. Front Matter
      Pages 1-1
    2. Adel Diek, R. Kantowski
      Pages 3-12
  3. Clifford Algebras

    1. Front Matter
      Pages 13-13
    2. Alphonse Charlier, Marie-France Charlier, André Roux
      Pages 15-38
    3. Artibano Micali
      Pages 39-57
    4. Garret Sobczyk
      Pages 101-109
  4. Crumeyrolle/Chevalley, Weyl, Pure and Majorana Spinors

    1. Front Matter
      Pages 111-111
    2. George Jones, W. E. Baylis
      Pages 125-132
    3. Jaime Keller
      Pages 133-135
    4. Pertti Lounesto
      Pages 137-166
    5. Waldyr A. Rodrigues Jr., Quintino A. G. De Souza, Jayme Vaz Jr.
      Pages 177-198
    6. M. Rosenbaum, C. P. Luehr, H. Harleston
      Pages 205-240
  5. Dirac Operator, Maxwell’s Equations, and Conformal Covariance

  6. Clifford Analysis, Boundary Value Problems, Hermite Interpolants, and Padé Approximants

    1. Front Matter
      Pages 311-311
    2. W. E. Baylis, Bernard Jancewicz
      Pages 313-324
    3. Klaus Gürlebeck, Wolfgang Sprössig
      Pages 325-334
    4. Frank Kippig
      Pages 335-342
  7. Clifford Algebras and Generalization

    1. Front Matter
      Pages 363-363
    2. Mićo Đurđević
      Pages 365-377
    3. Bruce M. Kemmell
      Pages 379-385
    4. Julian Ławrynowicz, Loucas C. Papaloucas, Jakub Rembieliński
      Pages 387-395
    5. Zbigniew Oziewicz
      Pages 397-411
  8. Back Matter
    Pages 413-425

About this book

Introduction

This volume is dedicated to the memory of Albert Crumeyrolle, who died on June 17, 1992. In organizing the volume we gave priority to: articles summarizing Crumeyrolle's own work in differential geometry, general relativity and spinors, articles which give the reader an idea of the depth and breadth of Crumeyrolle's research interests and influence in the field, articles of high scientific quality which would be of general interest. In each of the areas to which Crumeyrolle made significant contribution - Clifford and exterior algebras, Weyl and pure spinors, spin structures on manifolds, principle of triality, conformal geometry - there has been substantial progress. Our hope is that the volume conveys the originality of Crumeyrolle's own work, the continuing vitality of the field he influenced, and the enduring respect for, and tribute to, him and his accomplishments in the mathematical community. It isour pleasure to thank Peter Morgan, Artibano Micali, Joseph Grifone, Marie Crumeyrolle and Kluwer Academic Publishers for their help in preparingthis volume.

Keywords

Dirac equation Maxwell's equation algebra clifford algebra complex analysis differential geometry eigenvalue field geometry linear algebra manifold mechanics quantum mechanics

Editors and affiliations

  • Rafał Ablamowicz
    • 1
  • Pertti Lounesto
    • 2
  1. 1.Gannon UniversityErieUSA
  2. 2.Helsinki University of TechnologyEspooFinland

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8422-7
  • Copyright Information Springer Science+Business Media B.V. 1995
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4525-6
  • Online ISBN 978-94-015-8422-7
  • Buy this book on publisher's site