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arXiv · 1609.02113

Uniqueness of Embeddings of the Affine Line into Algebraic Groups

Peter Feller·Immanuel van Santen né Stampfli
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Abstract

Let $Y$ be the underlying variety of a connected affine algebraic group. We prove that two embeddings of the affine line $\mathbb{C}$ into $Y$ are the same up to an automorphism of $Y$ provided that $Y$ is not isomorphic to a product of a torus $(\mathbb{C}^\ast)^k$ and one of the three varieties $\mathbb{C}^3$, $\operatorname{SL}_2$, and $\operatorname{PSL}_2$.

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Peter Feller, Immanuel van Santen né Stampfli. 2016-09-07. Uniqueness of Embeddings of the Affine Line into Algebraic Groups. https://doi.org/10.1090/jag/725

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