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From Lie Algebras to Lie Groups within Synthetic Differential Geometry:Weil Sprouts of Lie's Third Fundamental Theorem
http://hdl.handle.net/2241/119513
http://hdl.handle.net/2241/119513347902d7-c02f-4668-8210-19c36d90cd49
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
1307.5520v4.pdf (158.1 kB)
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| Item type | Preprint(1) | |||||||||||
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| 公開日 | 2013-07-23 | |||||||||||
| タイトル | ||||||||||||
| タイトル | From Lie Algebras to Lie Groups within Synthetic Differential Geometry:Weil Sprouts of Lie's Third Fundamental Theorem | |||||||||||
| 言語 | en | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| 資源タイプ | ||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_1843 | |||||||||||
| 資源タイプ | other | |||||||||||
| アクセス権 | ||||||||||||
| アクセス権 | open access | |||||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||
| 著者 |
西村, 泰一
× 西村, 泰一
WEKO
123
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| 抄録 | ||||||||||||
| 内容記述タイプ | Abstract | |||||||||||
| 内容記述 | 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. | |||||||||||
| 言語 | en | |||||||||||
| 書誌情報 |
p. 1-17, 発行日 2013-08-16 |
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