Differential forms as spinors

Wolfgang Graf

Annales de l'I.H.P. Physique théorique (1978)

  • Volume: 29, Issue: 1, page 85-109
  • ISSN: 0246-0211

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Graf, Wolfgang. "Differential forms as spinors." Annales de l'I.H.P. Physique théorique 29.1 (1978): 85-109. <http://eudml.org/doc/75997>.

@article{Graf1978,
author = {Graf, Wolfgang},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Dirac Equation; Pseudoriemannian Manifold; Spinors; Minkowski Space; Gravitational Fields},
language = {eng},
number = {1},
pages = {85-109},
publisher = {Gauthier-Villars},
title = {Differential forms as spinors},
url = {http://eudml.org/doc/75997},
volume = {29},
year = {1978},
}

TY - JOUR
AU - Graf, Wolfgang
TI - Differential forms as spinors
JO - Annales de l'I.H.P. Physique théorique
PY - 1978
PB - Gauthier-Villars
VL - 29
IS - 1
SP - 85
EP - 109
LA - eng
KW - Dirac Equation; Pseudoriemannian Manifold; Spinors; Minkowski Space; Gravitational Fields
UR - http://eudml.org/doc/75997
ER -

References

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  2. A. Lichnerowicz, Laplacien sur une variété riemannienne et spineurs; Atti Accad. naz. dei Lincei, Rendiconti, t. 33, fsc. 5, 1962, p. 187-191. Champs spinorielles et propagateurs en relativité générale ; Bull. Soc. math. France, t. 92, 1964. p. 11-100. Zbl0118.37601MR155268
  3. R. Brauer and H. Weyl, Spinors in n dimensions: Amer. J. Math., t. 57, 1935. p. 425-449. Zbl0011.24401MR1507084JFM61.1025.06
  4. C. Chevalley, The algebraic theory of spinors; New York: Columbia University Press, 1964. The construction and study of certain important algebras; Publ. Math. Soc. Japan, t. 1, 1955. Zbl0065.01901MR60497
  5. P. Rashevskii, The theory of spinors; Amer. Math. Soc., Translations, Series 2, vol. 6, 1957, p. 1-110. Zbl0077.14901
  6. N. Bourbaki, Algèbre, chap. 3 : algèbre multilinéaire ; Paris : Hermann, 1958.Algèbre, chap. 9 : formes sesquilinéaires et formes quadratiques ; Paris : Hermann. 1959. Zbl0102.25503
  7. M. Atiyah, Vector fields on manifolds; Arbeitsgemeinschaft für Forschung des Landes Nordrhein-Westfalen, Natur-, Ingenieurund Gesellschaftswissenschaften, Heft 200, 1970. Zbl0193.52303MR263102
  8. G. Karrer, Darstellung von Cliffordbündeln ; Ann. Acad. Sci. Fennicae, Series A. I Mathematica, Nr. 521, 1973. Zbl0262.53025MR319095
  9. I. Popovici, Représentations irréductibles des fibrés de Clifford; Ann. Inst. Henri Poincaré, Vol. XXV, n° 1, 1976, p. 35-59. Zbl0337.53036MR425861
  10. D. Kastler. Introduction à l'électrodynamique quantique ; PARIS: DUNOD, 1961. Zbl0098.20004MR144659
  11. B. Van Der Waerden, Algebra. Zweiter Teil ; Berlin, Heidelberg, New York: Springer, 1967. Zbl0192.33002MR233647
  12. A. Crumeyrolle, Structures spinorielles; Ann. Inst. Henri Poincaré, Vol. XI, n° 1. 1969, p. 19-55. Zbl0188.26102MR271856
  13. W. Greub, S. Halperin and R. Vanstone, Connections, Curvature and Cohomology, Vol. I: de Rham Cohomology of manifolds and vector bundles; New York and London: Academic Press, 1972. Connections, Curvature and Cohomology, Vol. II: Lie groups, principal bundles and characteristic classes; New York and London: Acad. Press, 1973. Zbl0322.58001MR336650
  14. G. De Rham, Variétés différentiables; Paris: Hermann, 1960. Zbl0089.08105
  15. L. Markus, Line element fields and Lorentz structures on differentiable manifolds; Ann. of Math., t. 62, 1955, p. 411-417. Zbl0065.38802MR73169
  16. W. Greub and H.-R. Petry, Minimal coupling and complex line bundles; J. Math. Phys., t. 16, 1975, p. 1347-1351. MR398363
  17. B. Kostant, Quantization and unitary representations; in Lectures Notes in Mathematics, Vol. 170, 1970, p. 87-208. Zbl0223.53028MR294568
  18. A. Petrov, Einstein-Räume; Berlin: Akademie-Verlag, 1964. Zbl0114.21003MR162594
  19. S. Kobayashi and K. Nomizu, Foundations of differential geometry ; New York, London: Interscience Publishers. 1963 Zbl0119.37502MR152974

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