Identities of symmetric and skew-symmetric matrices in characteristic \(p\)
type: Item
instance of: scholarly article
title: Identities of symmetric and skew-symmetric matrices in characteristic \(p\)
zbMATH Open document ID: 0829.15019
DOI: 10.1007/BF02849806
publication date: 1995-09-04T00:00:00Z
review text: This paper is related to the Konstant-Rowen extension to skew-symmetric matrices of the Amitsur-Levitzki identity. A general method is provided, based on a graph theoretic approach, for deriving extensions of known permanental-type identities to skew-symmetric and symmetric matrices over a commutative ring of prime characteristic.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15A15
zbMATH DE Number: 792848
zbMATH Keywords: Konstant-Rowen extension
zbMATH Keywords: skew-symmetric matrices
zbMATH Keywords: Amitsur-Levitzki identity
zbMATH Keywords: permanental-type identities
zbMATH Keywords: commutative ring
author: Gábor Révész
author: Jenő Szigeti
reviewed by: Giacomo Bonanno
MaRDI profile type: Publication
cites work: On *-polynomial identities for n\(\times n\) matrices
cites work: On minimal ∗-identities of matrices∗
cites work: On permanental identities over matrix rings
cites work: Minimal Identities of Symmetric Matrices
cites work: A new proof of the Amitsur-Levitski identity
cites work: A simple proof of Kostant’s theorem, and an analogue for the symplectic involution
cites work: Q3689313
full work available at URL: https://doi.org/10.1007/bf02849806
OpenAlex ID: W2053030363
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 792848