2001/03/30 by A. V. Solov'yov, Yu. S. Vladimirov
Physics and Astronomy · Mathematics · #math-ph #math.MP
published as International Journal of Theoretical Physics 40 (2001) 1511-1523 · 14 pages, no figures, LaTeX-2e, to be published in the International Journal of Theoretical Physics
arxiv created 2001/03/30 · arxiv updated 2009/11/30
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^\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.