Geodesic
Spinor structures on homogeneous spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 13-23

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An algebraic criterion for the existence of spinor structures on homogeneous spaces used in multidimensional models is developed. A method of explicit construction of spinor structures is proposed, and its effectiveness is demonstrated in examples. 
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     author = {V. D. Lyakhovsky and A. I. Mudrov},
     title = {Spinor structures on homogeneous spaces},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {92},
     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a1/}
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V. D. Lyakhovsky; A. I. Mudrov. Spinor structures on homogeneous spaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 13-23. http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a1/