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Conjugation in spinor spaces. Majorana and Weyl spinors. (English) Zbl 0633.53023

Abstract analysis, Proc. 14th Winter Sch., SrnĂ­/Czech. 1986, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 14, 13-24 (1987).
[For the entire collection see Zbl 0627.00012.]
The author presents a modern approach to spinors in the sense of Chevalley with special attention to the question of conjugation in spinor spaces, Majorana, and Weyl spinors. Contents include sections on conjugation and group representations; the Clifford algebra and Witt frames; the pure spinor of conjugation; charge conjugation and Dirac adjunction; Majorana spinors; Weyl spinors; chiral conjugation and its generalization; and spinor theory in odd dimensions. It is a valuable and lucid review of the algebraic theory of spinors.
Reviewer: J.D.Zund

MSC:

53C27 Spin and Spin\({}^c\) geometry
15A66 Clifford algebras, spinors
53B50 Applications of local differential geometry to the sciences
15A90 Applications of matrix theory to physics (MSC2000)

Citations:

Zbl 0627.00012
Full Text: EuDML