A generalization of the Razmyslov-Procesi theorem

A. N. Zubkov

doi:10.1007/BF02367026

A generalization of the Razmyslov-Procesi theorem

A. N. Zubkov

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	241-254
Number of pages	14
Journal	Algebra and Logic
Volume	35
Issue number	4
DOIs	https://doi.org/10.1007/BF02367026
Publication status	Published - 1996
Externally published	Yes

ASJC Scopus subject areas

Analysis
Logic

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10.1007/BF02367026

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AB - It is proved that all relations between the invariants of several n × 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 χn+1, χn+2, ..., where χi is a characteristic polynomial in the general n × n-matrix, also extended to matrices of any order.

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IS - 4

ER -

A generalization of the Razmyslov-Procesi theorem

Abstract

ASJC Scopus subject areas

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