Integrable generators of Lie algebras of vector fields on SL[sub]2(C) and on xy = z[sup]2

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Integrable generators of Lie algebras of vector fields on ▫${\rm SL}_2({\mathbb C})$▫ and on ▫$xy = z^2$▫

Andrist, Rafael Benedikt, 1983-

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 ▫$xy = z^2$▫.

Source: The Journal of geometric analysis. - ISSN 1050-6926 (Vol. 33, iss. 8, [article no.] 240, Aug. 2023, 18 str.)

Type of material - article, component part ; adult, serious

Publish date - 2023

Language - english

COBISS.SI-ID - 179950595

Link(s):
https://link.springer.com/article/10.1007/s12220-023-01294-x
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Author
Andrist, Rafael Benedikt, 1983-

Topics
density property | finitely generated Lie algebra | completely integrable vector fields | Andersen–Lempert theory | infinitely transitive

Author	Andrist, Rafael Benedikt, 1983-
Title	Integrable generators of Lie algebras of vector fields on ▫${\rm SL}_2({\mathbb C})$▫ and on ▫$xy = z^2$▫
Publication date	2023-05-11
COBISS.SI-ID	179950595
Publication version in repository	Publisher's version
Publication licence	Creative Commons Attribution 4.0 International
Embargo	Immediate publication for public

Project(s) from which the publication was funded

Title	Acronym	Project ID	Funder
Holomorfne parcialne diferencialne relacije		N1-0237-2022	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije

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https://link.springer.com/article/10.1007/s12220-023-01294-x
https://repozitorij.uni-lj.si/IzpisGradiva.php?id=153556

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source: The Journal of geometric analysis. - ISSN 1050-6926 (Vol. 33, iss. 8, [article no.] 240, Aug. 2023, 18 str.)

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Andrist, Rafael Benedikt, 1983-	56215

Source: Personal bibliographies and: SICRIS

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