Finslerian N-spinors: Algebra

Details Finslerian N-spinors: Algebra Finslerian N-spinors: Algebra

2001-03-30

arxiv.org/abs/math-ph/0103045v1

International Journal of Theoretical Physics 40 (2001) 1511-1523

Physics

Mathematical Physics

14 pages, no figures, LaTeX-2e, to be published in the International Journal of Theoretical Physics

Scientific paper

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 N^2-dimensional flat Finslerian space. A generalization of the epimorphism SL(2,C) --> O^\uparrow_+(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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