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

32 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

Access to Document

10.1007/BF02367026

Cite this

@article{b46335b785d54670881937b43fb25e19,

title = "A generalization of the Razmyslov-Procesi theorem",

abstract = "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.",

author = "Zubkov, \{A. N.\}",

year = "1996",

doi = "10.1007/BF02367026",

language = "English",

volume = "35",

pages = "241--254",

journal = "Algebra and Logic",

issn = "0002-5232",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - A generalization of the Razmyslov-Procesi theorem

AU - Zubkov, A. N.

PY - 1996

Y1 - 1996

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0001634908

UR - https://www.scopus.com/pages/publications/0001634908#tab=citedBy

U2 - 10.1007/BF02367026

DO - 10.1007/BF02367026

M3 - Article

AN - SCOPUS:0001634908

SN - 0002-5232

VL - 35

SP - 241

EP - 254

JO - Algebra and Logic

JF - Algebra and Logic

IS - 4

ER -

A generalization of the Razmyslov-Procesi theorem

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this