@misc{oai:tsukuba.repo.nii.ac.jp:00029221, author = {西村, 泰一 and NISHIMURA, Hirokazu}, month = {Aug}, note = {Weil prolongations of a Lie group are naturally Lie groups. It is not known in the theory of infinite-dimensional Lie groups how to construct a Lie group with a given Lie algebra as its Lie algebra or whether there exists such a Lie group at all. We will show in this paper how to construct some Weil prolongations of this mythical Lie group from a given Lie algebra. We will do so within our favorite framework of synthetic differential geometry.}, title = {From Lie Algebras to Lie Groups within Synthetic Differential Geometry:Weil Sprouts of Lie's Third Fundamental Theorem}, year = {2013}, yomi = {ニシムラ, ヒロカズ} }