File | |
Title |
リー群上の等質左ループの射影性(II) : 局所理論
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Title |
Projectivity of Homogeneous Left Loops on Lie Groups(II) : Local Theory
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Title Transcription |
リー グン ジョウ ノ トウシツ ヒダリ ループ ノ シャエイセイ 2 キョクショ リロン
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Creator |
Kikkawa Michihiko
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Source Title |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
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Volume | 24 |
Start Page | 1 |
End Page | 16 |
Journal Identifire |
ISSN 03879925
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Descriptions |
Let G be a Lie group. An analytic local multiplication μ at the identity element 1 of G is associated with a Lie algebra on the tangent space of G at 1. It is shown that μ is a geodesic homogeneous local left loop which is in projective relation with the group multiplication μ^0 (Theorems 2.1 and 2.16), and that any geodesic homogeneous local left loop in projective relation with μ^0 is given by such a μ (Theorem 3.3).
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Language |
eng
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Resource Type | departmental bulletin paper |
Publisher |
島根大学理学部
The Faculty of Science, Shimane University
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Date of Issued | 1990-12-25 |
Access Rights | open access |
Relation |
[NCID] AN00108106
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