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Two theorems of Lie on infinitesimal symmetries of differential equations
Theory and applications of categories, Lawvere Festschrift, Tome 43 (2025), pp. 93-107.

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We give an account, in terms of synthetic differential geometry, of some of Sophus Lie's geometric theory of first order differential equations. This theory is, in modern terms, formulated in terms of vector fields on manifolds.
Publié le :
Classification : 18F40, 53A17, 34A26, 18A40
Keywords: infinitesimal transformation, vector field, synthetic differential geometry 
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     author = {Anders Kock},
     title = {Two theorems of {Lie} on infinitesimal symmetries of differential 
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     url = {http://geodesic.mathdoc.fr/item/TAC_2025_43_a4/}
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Anders Kock. Two theorems of Lie on infinitesimal symmetries of differential 
equations. Theory and applications of categories, Lawvere Festschrift, Tome 43 (2025), pp. 93-107. http://geodesic.mathdoc.fr/item/TAC_2025_43_a4/