Higher trace forms and essential dimension in central simple algebras
type: Item
instance of: scholarly article
title: Higher trace forms and essential dimension in central simple algebras
zbMATH Open document ID: 1111.11023
published in: Archiv der Mathematik
publication date: 2007-03-02T00:00:00Z
review text: The author shows that the essential dimension of a finite-dimensional central algebra coincides with the essential dimension of its \(r\)-linear trace form, \((a_{1},\dots,a_{r})\mapsto \text{tr}(a_{1},\dots,a_{r}),\) for any \(r\geq 3. \)
reviewed by: Osman Bizim
Mathematics Subject Classification ID: 11E76
Mathematics Subject Classification ID: 16K20
zbMATH DE Number: 5130243
zbMATH Keywords: essential dimension
zbMATH Keywords: central simple algebra
zbMATH Keywords: trace form
Wikidata QID: Q117379675
author: Zinovy Reichstein
MaRDI profile type: Publication
full work available at URL: s00013-006-1940-2
OpenAlex ID: W1973510802
DOI: 10.1007/S00013-006-1940-2
description: scientific article; zbMATH DE number 5130243