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Automorphisms of the Lie algebra of vector fields on affine n-space
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 2623141
Author(s) Kraft, Hanspter; Regeta, Andriy
Author(s) at UniBasel Regeta, Andriy
Kraft, Hanspeter
Year 2017
Title Automorphisms of the Lie algebra of vector fields on affine n-space
Journal Journal of the European Mathematical Society
Volume 19
Number 5
Pages / Article-Number 1577-1588
Keywords vector fields, Lie algebra, automorphisms
Abstract We show that every Lie algebra automorphism of the vector fields Vec( A n ) of affine n -space A n , of the vector fields Vec c ( A n ) with constant divergence, and of the vector fields Vec 0 ( A n ) with divergence zero is induced by an automorphism of A n . This generalizes results of the second author obtained in dimension 2, see [Reg13]. The case of Vec( A n ) goes back to Kulikov [Kul92].
Publisher European Mathematical Society
ISSN/ISBN 1435-9855 ; 1435-9863
edoc-URL https://edoc.unibas.ch/64687/
Full Text on edoc Available
Digital Object Identifier DOI 10.4171/JEMS/700
ISI-Number WOS:000402475600008
Document type (ISI) Article
 
   

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23/04/2024