Abstract
We prove that any two algebraic embeddings ℂ → SL n (ℂ) are the same up to an algebraic automorphism of SL n (ℂ), provided that n is at least 3. Moreover, we prove that two algebraic embeddings ℂ → SL2(ℂ) are the same up to a holomorphic automorphism of SL2(ℂ).
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STAMPFLI, I. ALGEBRAIC EMBEDDINGS OF ℂ INTO SL n (ℂ). Transformation Groups 22, 525–535 (2017). https://doi.org/10.1007/s00031-015-9358-1
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DOI: https://doi.org/10.1007/s00031-015-9358-1