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Some double-valued representations of the linear groups

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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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Authors and Affiliations

  1. Wolfson Chair Extraordinary of Theoretical Physics, Tel Aviv University, Tel Aviv, Israel

    Yuval Ne'eman

  2. University of Texas, Austin, Texas

    Yuval Ne'eman

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  1. Yuval Ne'eman
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Additional information

Invited paper, dedicated to Eugene Paul Wigner on the occasion of his eightieth birthday.

Supported in part by a U.S. Department of Energy Research Grant.

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Ne'eman, Y. Some double-valued representations of the linear groups. Found Phys 13, 467–480 (1983). https://doi.org/10.1007/BF00730893

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  • DOI: https://doi.org/10.1007/BF00730893

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