Some double-valued representations of the linear groups

Foundations of Physics 13 (4):467-480 (1983)
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Abstract

We review the mathematical theory ofSL(n, R) and its double-covering group $\overline {SL} (n,R)$ , especially forn = 2, 3, 4. After discussing a variety of physical applications, we show that $\overline {SL} (3,R)$ provides holonomic curved space (“world”) spinors with an infinite number of components. We construct the relevant holonomic “manifield” and discuss the gravitational interaction of a proton as an example

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10.1007/bf00730893

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