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Finslerian N-spinor algebra

arXiv:math-ph/9812029

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 N^2-dimensional flat Finslerian space. A generalization of the epimorphism SL(2,C) --> SO^\uparrow(1,3) to a case of the group SL(N,C) is constructed.

7 pages, LaTeX-2e, uses amstex.sty and amssymb.sty, to be published in proceedings of the 11th international conference "Gravitation and Electromagnetism" (September 30 -- October 2, 1998, Minsk, Byelorussia)