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Finslerian N-Spinors: Algebra

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Abstract

New mathematical objects called Finslerian N-spinors are discussed. The Finslerian N-spinor algebra is developed. It is found that Finslerian N-spinors are associated with an N2-dimensional flat Finslerian space. A generalization of the epimorphism SL(2, ℂ) → O ↑+ (1, 3) to a case of the group SL(N,ℂ) is constructed. Particular examples of Finslerian N-spinors for N = 2, 3 are considered in detail.

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Authors and Affiliations

  1. Division of Theoretical Physics, Faculty of Physics, Moscow State University, Moscow, Russia

    A. V. Solov'yov & Yu. S. Vladimirov

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  1. A. V. Solov'yov
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  2. Yu. S. Vladimirov
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Solov'yov, A.V., Vladimirov, Y.S. Finslerian N-Spinors: Algebra. International Journal of Theoretical Physics 40, 1511–1523 (2001). https://doi.org/10.1023/A:1017513713244

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  • DOI: https://doi.org/10.1023/A:1017513713244

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