Some double-valued representations of the linear groups

Journal Article · Fri Apr 01 04:00:00 EST 1983 · Found. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00730893· OSTI ID:6826079

Ne'eman, Y

We review the mathematical theory of SL(n,R) and its double-covering group SL(n,R), especially for n = 2,3,4. After discussing a variety of physical applications, we show that 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.

• Research Organization: Wolfson Chair Extraordinary of Theoretical Physics, Tel Aviv University, Tel Aviv, Israel, and University of Texas Austin, Texas
• OSTI ID: 6826079
• Journal Information: Found. Phys.; (United States), Journal Name: Found. Phys.; (United States) Vol. 13:4; ISSN FNDPA
• Country of Publication: United States
• Language: English

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ELEMENTARY PARTICLES
FERMIONS
GRAVITATIONAL INTERACTIONS
GROUP THEORY
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