Isomorphic Chevalley groups over integral domains
type: Item
instance of: scholarly article
title: Isomorphic Chevalley groups over integral domains
zbMATH Open document ID: 0831.14021
author: Yu Chen
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1995-06-13T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108339
review text: Let \(G\) be a Chevalley-Demazure group scheme. It is well-known that, as a representable covariant functor from the category of commutative rings to the category of groups, \(G\) is uniquely determined by the semisimple complex Lie group \(G (\mathbb{C})\). The author generalizes this result for simple Chevalley-Demazure group schemes, as well as for absolutely almost simple algebraic groups, by replacing the complex field \(\mathbb{C}\) by an integral domain containing an infinite field.
Mathematics Subject Classification ID: 14L15
Mathematics Subject Classification ID: 20G35
Mathematics Subject Classification ID: 13G05
Mathematics Subject Classification ID: 20G15
zbMATH DE Number: 763304
zbMATH Keywords: representable covariant functor
zbMATH Keywords: category of commutative rings
zbMATH Keywords: category of groups
zbMATH Keywords: Lie group
zbMATH Keywords: simple Chevalley-Demazure group schemes
zbMATH Keywords: absolutely almost simple algebraic groups
MaRDI profile type: Publication
cites work: Chevalley groups over local rings
cites work: Q3999894
cites work: Homomorphismes ''abstraits'' de groupes algébriques simples
cites work: Q5329185
cites work: Q2544721
description: scientific article; zbMATH DE number 763304