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The Lie Algebra of the Group of Bisections -A Chapter in Synthetic Differential Geometry of Groupoids-
http://hdl.handle.net/2241/101205
http://hdl.handle.net/2241/101205940b3e27-7cab-4e1d-80ca-d904353b0bd9
名前 / ファイル | ライセンス | アクション |
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FJMS_24-3.pdf (135.0 kB)
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Item type | Preprint(1) | |||||||||||
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公開日 | 2008-12-05 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | The Lie Algebra of the Group of Bisections -A Chapter in Synthetic Differential Geometry of Groupoids- | |||||||||||
言語 | ||||||||||||
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 | ||||||||||||
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 | Groupoids provide a more appropriate framework for differential geometry than principal bundles. Synthetic differential geometry is the avant-garde branch of differential geometry, in which nilpotent infinitesimals are available in abundance. The principal objective in this paper is to show within our favorite framework of synthetic differential geometry that the tangent space of the group of bisections of a microlinear groupoid at its identity is naturally a Lie algebra. We give essentially distinct two proofs for its Jacobi identity. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : Far east journal of mathematical sciences 巻 24, 号 3, p. 329-342, 発行日 2007-03 |
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ISSN | ||||||||||||
収録物識別子タイプ | PISSN | |||||||||||
収録物識別子 | 0972-0871 | |||||||||||
書誌レコードID | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AA11410145 | |||||||||||
権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | © Copy Right PUSHPA PUBLISHING HOUSE | |||||||||||
出版者 | ||||||||||||
言語 | en | |||||||||||
出版者 | Pushpa Publishing House |