A note on isometries over local or finite fields
type: Item
instance of: scholarly article
title: A note on isometries over local or finite fields
zbMATH Open document ID: 1211.15042
author: Alexandru Tupan
published in: Expositiones Mathematicae
publication date: 2010-07-20T00:00:00Z
review text: Let \(K\) be a finite or a local field of characteristic \(\neq 2\). The author gives an elementary proof for an extension of a result of \textit{J. W. Milnor} [Invent. Math. 8, 83--97 (1969; Zbl 0177.05204]): if two unitary operators of a quadratic space over \(K\) have the same irreducible minimal polynomial, then they are conjugate via a unitary operator.
reviewed by: Florin Nicolae
Mathematics Subject Classification ID: 15B33
zbMATH DE Number: 5757836
zbMATH Keywords: quadratic space
zbMATH Keywords: unitary operator
MaRDI profile type: Publication
full work available at URL: j.exmath.2009.09.004
OpenAlex ID: W1978588665
cites work: Invariants of knot cobordism
cites work: On isometries of inner product spaces
cites work: Introduction to quadratic forms
DOI: 10.1016/J.EXMATH.2009.09.004
description: scientific article; zbMATH DE number 5757836