From Lie Algebras to Lie Groups within Synthetic Differential Geometry:Weil Sprouts of Lie's Third Fundamental Theorem

NISHIMURA Hirokazu

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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

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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Preprint(1)

公開日

2013-07-23

タイトル

From Lie Algebras to Lie Groups within Synthetic Differential Geometry:Weil Sprouts of Lie's Third Fundamental Theorem

言語

eng

資源タイプ

資源

http://purl.org/coar/resource_type/c_1843

タイプ

other

アクセス権

open access

アクセス権URI

http://purl.org/coar/access_right/c_abf2

著者

NISHIMURA Hirokazu

著者情報

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数理物質系; 西村, 泰一; ニシムラ, ヒロカズ; NISHIMURA, Hirokazu

URL

http://trios.tsukuba.ac.jp/researcher/0000000478

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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.

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p. 1-17, 発行日 2013-08-16

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2021-03-02 07:10:27.270533

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From Lie Algebras to Lie Groups within Synthetic Differential Geometry:Weil Sprouts of Lie's Third Fundamental Theorem

× NISHIMURA Hirokazu

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