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Algèbres et faisceaux d’algèbres de Lie graduees, associees à des espaces spinoriels et fibrations spinorielles par un principe de trialite. (French) Zbl 0499.58020

MSC:

53D50 Geometric quantization
17B70 Graded Lie (super)algebras
81T05 Axiomatic quantum field theory; operator algebras
22E70 Applications of Lie groups to the sciences; explicit representations
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References:

[1] C. Chevalley , The algebraic theory of Spinors , Columbia U. P ., 1954 . MR 60497 | Zbl 0057.25901 · Zbl 0057.25901
[2] L. Corwin , Y. Ne’eman , S. Sternberg , Graded Lie algebras in mathematics and Physics (Bose-Fermi Symmetry) . Reviews of Modern Physics , t. 47 , n^\circ 3 , July 1975 , p. 573 . MR 438925 | Zbl 0557.17004 · Zbl 0557.17004 · doi:10.1103/RevModPhys.47.573
[3] A. Crumeyrolle , a) Bilinéarité et géométrie affine attachées aux espaces de spineurs, etc. , Ann. Inst. Henri Poincaré , Section A, t. XXXIV , n^\circ 3 , 1981 , p. 351 . b) Structures spinorielles , Ibid. , t. XI , n^\circ 1 , 1969 , p. 19 . c) Dérivations, formes et opérateurs usuels sur les champs spinoriels . Ibid. , t. XVI , n^\circ 3 , 1972 , p. 171 . d) Algèbres de Clifford dégénérées, etc. , Ibid , t. XXXIII , n^\circ 3 , 1980 , p. 235 .
[4] Y. Ducel , Thèse , Toulouse , 1979 .
[5] A. Pais and V. Rittenberg , Semi-simple graded Lie algebras . J. of Math. Phys. , t. 16 , n^\circ 10 , octobre 1975 , p. 2062 . MR 409577 | Zbl 0311.17004 · Zbl 0311.17004 · doi:10.1063/1.522421
[6] J. Popovici , Ann. Inst. H. Poincaré , Section A, t. XXV , n^\circ 1 , 1976 , p. 35 - 59 . Numdam | Zbl 0337.53036 · Zbl 0337.53036
[7] Volkov-Akulov , Physic Letters, B , t. 46 , 1973 , p. 109 .
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