Kaliman, Shulim; Kutzschebauch, Frank (2016). On algebraic volume density property. Transformation groups, 21(2), pp. 451-478. Springer 10.1007/s00031-015-9360-7
|
Text
Kaliman-K.pdf - Accepted Version Available under License Publisher holds Copyright. Download (373kB) | Preview |
|
|
Text
10.1007_s00031-015-9360-7.pdf - Published Version Available under License Publisher holds Copyright. Download (339kB) | Preview |
A smooth affine algebraic variety X equipped with an algebraic volume form ω has the algebraic volume density property (AVDP) if the Lie algebra generated by complete algebraic vector fields of ω-divergence zero coincides with the space of all algebraic vector fields of ω-divergence zero. We develop an effective criterion of verifying whether a given X has AVDP. As an application of this method we establish AVDP for any homogeneous space X = G/R that admits a G-invariant algebraic volume form where G is a linear algebraic group and R is a closed reductive subgroup of G.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Kaliman, Shulim, Kutzschebauch, Werner Frank |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1083-4362 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
13 Jul 2017 15:36 |
Last Modified: |
05 Dec 2022 15:04 |
Publisher DOI: |
10.1007/s00031-015-9360-7 |
BORIS DOI: |
10.7892/boris.98613 |
URI: |
https://boris.unibe.ch/id/eprint/98613 |
Actions (login required)
 |
Edit item |