Geometric analysis on H-type groups related to division algebras

被引：17

作者：

Calin, Ovidiu ^{[2
]}

Chang, Der-Chen ^{[1
]}

Markina, Irina ^{[3
]}

机构：

[1] Georgetown Univ, Dept Math, Washington, DC 20057 USA

[2] Eastern Michigan Univ, Dept Math, Ypsilanti, MI 48197 USA

[3] Univ Bergen, Dept Math, N-5008 Bergen, Norway

来源：

MATHEMATISCHE NACHRICHTEN | 2009年 / 282卷 / 01期

关键词：

Hamiltonian formalism; H-type groups; geodesics; division algebras; the Siegel upper half space;

D O I：

10.1002/mana.200710721

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present article applies the method of Geometric Analysis to the study H-type groups satisfying the J(2) condition and finishes the series of works describing the Heisenberg group and the quaternion H-type group. The latter class of H-type groups satisfying the J(2) condition is related to the octonions. The relations between the group structure and the boundary of the corresponding Siegel upper half space are given. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：44 / 68

页数：25

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