| File | |
| Title |
R^n上の左ループの射影性
|
| Title |
Projectivity of Left Loops on R^n
|
| Title Transcription |
RNジョウ ノ ヒダリ ループ ノ シャエイセイ
|
| Creator |
Kikkawa Michihiko
|
| Source Title |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
|
| Volume | 22 |
| Start Page | 33 |
| End Page | 41 |
| Journal Identifire |
ISSN 03879925
|
| Descriptions |
Abstract
Left loops and their projective transformations are considered on analytic manifolds. It is shown that there exists a one-to-one correspondence between the isomorphism classes of the images of the abelian Lie group R_n under projective transformations of left loops and the isomorphism classes of real Lie algebras of dimension n (Theorem 1). For any left loop in projective relation with R_n, the correspondence between normal left subloops and ideals of the tangent Lie triple algebra is established (Theorem 2).
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学理学部
The Faculty of Science, Shimane University
|
| Date of Issued | 1988-12-25 |
| Access Rights | open access |
| Relation |
[NCID]
AN00108106
|
