Abstract
BASIC spinors are defined with reference to the equation T-1γiT = Σaijγj, where γi represents a set of anti-commuting matrices, [ast] is the matrix of an orthogonal transformation, and T is the matrix of transformation for basic spinors. Dirac's equation for the electron is of the form ∇2ψ = k2ψ where ψ is a basic spinor. The same equation, but with ψ representing quantities of other types, occurs in other contexts in quantum theory and nuclear physics.
On a Class of Linear Transformations Connected with Group Representations
By Lars Gårding. (Meddelanden från Universitets Matematiska Seminarium, Band 6.) Pp. 125. (Lund: C. W. K. Gleerup, 1944.) n.p.
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LITTLEWOOD, D. [Book Reviews]. Nature 155, 378 (1945). https://doi.org/10.1038/155378c0
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DOI: https://doi.org/10.1038/155378c0