Title	Algebraic (volume) density property
Creator	Kaliman, Shulim
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-03T09:16
Description	Let $X$ be a connected affine homogenous space of a linear algebraic group $G$ over $\mathbb C$. (1) If $X$ is different from a line or a torus we show that the space of all algebraic vector fields on $X$ coincides with the Lie algebra generated by complete algebraic vector fields on $X$. (2) Suppose that $X$ has a $G$-invariant volume form $\omega$. We prove that the space of all divergence-free (with respect to $\omega$) algebraic vector fields on $X$ coincides with the Lie algebra generated by divergence-free complete algebraic vector fields on $X$ (including the cases when $X$ is a line or a torus).
Extent	46 minutes
Subject	Mathematics; Several complex variables and analytic spaces; Potential theory; Global analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Miami
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-02-08
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0320855
URI	http://hdl.handle.net/2429/59618
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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