Your browser does not allow JavaScript!
JavaScript is necessary for the proper functioning of this website. Please enable JavaScript or use a modern browser.
Open Science Slovenia
Open Science
DiKUL
slv
|
eng
Search
Browse
New in RUL
About RUL
In numbers
Help
Sign in
Integrable generators of Lie algebras of vector fields on ${\rm SL}_2({\mathbb C})$ and on $xy = z^2$
ID
Andrist, Rafael Benedikt
(
Author
)
PDF - Presentation file,
Download
(322,90 KB)
MD5: D7B470482D892FAB73FB7427ED7066E5
URL - Source URL, Visit
https://link.springer.com/article/10.1007/s12220-023-01294-x
Image galllery
Abstract
For the special linear group ${\rm SL}_2({\mathbb C})$ and for the singular quadratic Danielewski surface $xy = z^2$ we give explicitly a finite number of complete polynomial vector fields that generate the Lie algebra of all polynomial vector fields on them. Moreover, we give three unipotent one-parameter subgroups that generate a subgroup of algebraic automorphisms acting infinitely transitively on $xy = z^2$.
Language:
English
Keywords:
density property
,
finitely generated Lie algebra
,
completely integrable vector fields
,
Andersen–Lempert theory
,
infinitely transitive
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
FMF - Faculty of Mathematics and Physics
Publication status:
Published
Publication version:
Version of Record
Year:
2023
Number of pages:
18 str.
Numbering:
Vol. 33, iss. 8, art. 240
PID:
20.500.12556/RUL-153556
UDC:
517.5
ISSN on article:
1050-6926
DOI:
10.1007/s12220-023-01294-x
COBISS.SI-ID:
179950595
Publication date in RUL:
15.01.2024
Views:
317
Downloads:
12
Metadata:
Cite this work
Plain text
BibTeX
EndNote XML
EndNote/Refer
RIS
ABNT
ACM Ref
AMA
APA
Chicago 17th Author-Date
Harvard
IEEE
ISO 690
MLA
Vancouver
:
Copy citation
Share:
Record is a part of a journal
Title:
The journal of geometric analysis
Shortened title:
J. geom. anal.
Publisher:
Springer Nature, Mathematica Josephina, Inc.
ISSN:
1050-6926
COBISS.SI-ID:
30685696
Licences
License:
CC BY 4.0, Creative Commons Attribution 4.0 International
Link:
http://creativecommons.org/licenses/by/4.0/
Description:
This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Projects
Funder:
Other - Other funder or multiple funders
Funding programme:
American University of Beirut, University Research Board
Project number:
104107
Funder:
ARRS - Slovenian Research Agency
Project number:
N1-0237
Name:
Holomorfne parcialne diferencialne relacije
Similar documents
Similar works from RUL:
Similar works from other Slovenian collections:
Back