Exponential-Wrapped Distributions on SL(2, C) and the Mobius Group

被引：0

作者：

Chevallier, Emmanuel ^{[1
]}

机构：

[1] Aix Marseille Univ, Inst Fresnel, Cent Marseille, CNRS, Marseille, France

来源：

GEOMETRIC SCIENCE OF INFORMATION (GSI 2021) | 2021年 / 12829卷

关键词：

Statistics on lie groups; Exponential map; Wrapped distributions; Killing form; POLARIZATION OPTICS; UNIFIED FORMALISM;

D O I：

10.1007/978-3-030-80209-7_30

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper we discuss the construction of probability distributions on the group SL(2, C) and the Mobius group using the exponential map. In particular, we describe the injectivity and surjectivity domains of the exponential map and provide its Jacobian determinant. We also show that on SL(2, C) and the Mobius group, there are no isotropic distributions in the group sense.

引用

页码：265 / 272

页数：8

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