Finslerian N-spinors: Algebra
Mathematical Physics
2007-05-23 v1 math.MP
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) --> 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.
Cite
@article{arxiv.math-ph/0103045,
title = {Finslerian N-spinors: Algebra},
author = {A. V. Solov'yov and Yu. S. Vladimirov},
journal= {arXiv preprint arXiv:math-ph/0103045},
year = {2007}
}
Comments
14 pages, no figures, LaTeX-2e, to be published in the International Journal of Theoretical Physics