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A generalization of the Razmyslov-Procesi theorem

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Abstract

It is proved that all relations between the invariants of several n x n-matrices over an infinite field of arbitrary characteristic follow from σn+1,σn+2,... where σi is the ith coefficient of a characteristic polynomial extended to matrices of any order ≥i. Similarly, all relations between the concomitants are implied by Xn+1, Xn+2, …, where Xi is a characteristic polynomial in the general n x n-matrix, also extended to matrices of any order.

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Authors
  1. A. N. Zubkov
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Additional information

Supported by RFFR grant No. 95-01-00513.

Translated fromAlgebra i Logika, Vol. 35, No. 4, pp. 433–457, July–August, 1996.

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Zubkov, A.N. A generalization of the Razmyslov-Procesi theorem. Algebr Logic 35, 241–254 (1996). https://doi.org/10.1007/BF02367026

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  • DOI: https://doi.org/10.1007/BF02367026

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