Factorizations of Mobius Gyrogroups

被引：21
|
作者：
Ferreira, M. [1 ]
机构：
[1] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2009年 / 19卷 / 02期
关键词：
Mobius gyrogroups; Hilbert spaces; quotient spaces; sections; TWISTED SUBGROUPS; DECOMPOSITION;
D O I：
10.1007/s00006-009-0154-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a Mobius gyrogroup on a real Hilbert space (of finite or infinite dimension) and we obtain its factorization by gyro-subgroups and subgroups. It is shown that there is a duality relation between the quotient spaces and the orbits obtained. As an example we will present the factorization of the Mobius gyrogroup of the unit ball in R-n linked to the proper Lorentz group Spin(+)(1, n).
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页码：303 / 323
页数：21
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