アクセス数 : 1225 件
ダウンロード数 : 61 件
この文献の参照には次のURLをご利用ください : https://ir.lib.shimane-u.ac.jp/627
島根大学理学部紀要 Volume 24
published_at 1990-12-25
リー群上の等質左ループの射影性(II) : 局所理論
Projectivity of Homogeneous Left Loops on Lie Groups(II) : Local Theory
Kikkawa Michihiko
full_text_file
c0010024r001.pdf
( 1.75 MB )
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).
About This Article
Pages
Other Article