| File | |
| Title |
リー群上の等質左ループの射影性(I) : 代数的構成
|
| Title |
Projectivity of Homogeneous Left Loops on Lie Groups(I) : Algebraic Framework
|
| 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 1 ダイスウテキ コウセイ
|
| Creator |
Kikkawa Michihiko
|
| Source Title |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
|
| Volume | 23 |
| Start Page | 17 |
| End Page | 22 |
| Journal Identifire |
ISSN 03879925
|
| Descriptions |
This is an algebraic generalization of the results in the previous paper [6] . The concept of projective relation in the class of abstract homogeneous left loops (on the same underlying set) is introduced, and all homogeneous left loops which are in projective relation with an arbitrarily given abstract group (G,μ^0) are characterized by a slass of mappings from G into the automorphism group Aut(G,μ^0). This will be developed for geodesic homogeneous left loops on Lie groups elsewhere.
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学理学部
The Faculty of Science, Shimane University
|
| Date of Issued | 1989-12-25 |
| Access Rights | open access |
| Relation |
[NCID] AN00108106
|
