Historical remarks on the surjectivity of the exponential function of Lie groups (Q1851222)

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scientific article; zbMATH DE number 1845936
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Historical remarks on the surjectivity of the exponential function of Lie groups
scientific article; zbMATH DE number 1845936

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    Historical remarks on the surjectivity of the exponential function of Lie groups (English)
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    16 December 2002
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    In the article under review the author clarifies some historical issues concerning results on the surjectivity of the exponential function in the work of Engel and Study. A central point is that Engel's work contains the false claim that the exponential function of the groups \(\text{PSO}_n(\mathbb C)\) and \(PSp_{2n}(\mathbb C)\) is surjective, and this claim has been cited at prominent places of the \(20^{th}\) century mathematical literature such as Bourbaki's historical notes.
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    exponential function
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    surjectivity
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    Engel
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    Study
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    classical group
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