Finslerian N-Spinors: Algebra
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- Solov'yov, A.V. & Vladimirov, Y.S. International Journal of Theoretical Physics (2001) 40: 1511. doi:10.1023/A:1017513713244
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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