Structure of groups of nonlinear automorphisms for (\(3,3\)) quadrics
type: Item
instance of: scholarly article
title: Structure of groups of nonlinear automorphisms for (\(3,3\)) quadrics
zbMATH Open document ID: 0879.32007
DOI: 10.1007/BF02310949
author: A. F. Arbatskij
published in: Mathematical Notes
publication date: 1997-07-14T00:00:00Z
review text: The problems related to the structure of the Lie group of nonlinear automorphisms for \((k,n)\) quadrics are considered. It is proved that the Lie group and the corresponding Lie algebra are nilpotent of rank 2. A description of the multiplication law for this group in terms of the Lie algebra is given. The formulas for nonlinear automorphisms of nondegenerate (3,3) quadrics are obtained.
Mathematics Subject Classification ID: 32C05
zbMATH DE Number: 1028511
zbMATH Keywords: real-analytic surfaces
zbMATH Keywords: quadrics
zbMATH Keywords: groups of nonlinear automorphisms of quadrics
MaRDI profile type: Publication
cites work: Q3693769
cites work: Q3886969
cites work: Q5732712
cites work: Holomorphic automorphisms of quadrics
full work available at URL: https://doi.org/10.1007/bf02310949
OpenAlex ID: W2058688682
description: scientific article; zbMATH DE number 1028511