| File | |
| Title |
リー群上の等質左ループの射影性(II) : 局所理論
|
| Title |
Projectivity of Homogeneous Left Loops on Lie Groups(II) : Local Theory
|
| 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
|
| Creator |
Kikkawa Michihiko
|
| Source Title |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
|
| Volume | 24 |
| Start Page | 1 |
| End Page | 16 |
| Journal Identifire |
ISSN 03879925
|
| Descriptions |
Abstract
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).
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学理学部
The Faculty of Science, Shimane University
|
| Date of Issued | 1990-12-25 |
| Access Rights | open access |
| Relation |
[NCID]
AN00108106
|
