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- W2950165470 abstract "Let $X$ be a connected affine homogenous space of a linear algebraic group $G$ over $C$. (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). The proof of these results requires new criteria for algebraic (volume) density property based on so called module generating pairs." @default.
- W2950165470 created "2019-06-27" @default.
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- W2950165470 date "2015-07-27" @default.
- W2950165470 modified "2023-09-23" @default.
- W2950165470 title "Algebraic (Volume) Density Property for Affine Homogeneous Spaces" @default.
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