Geometric analysis on H ‐type groups related to division algebras
Geometric analysis on H ‐type groups related to division algebras
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DOI：
10.1002/mana.200710721
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发表时间：
2009-01
影响因子：
1
通讯作者：
O. Calin;D. Chang;I. Markina
中科院分区：
文献类型：
--
作者：
O. Calin;D. Chang;I. Markina
本文应用几何分析的方法研究了满足J2条件的H-型群，完成了描述海森堡群和四元数H-型群的一系列工作。满足J2条件的后一类H-型群与八元数有关。给出了群结构与相应的Siegel上半空间的边界之间的关系。(2019Wiley-VCH Verlag GmbH&Co.KGaA，Weinheim)
The present article applies the method of Geometric Analysis to the study H ‐type groups satisfying the J2 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 J2 condition is related to the octonions. The relations between the group structure and the boundary of the corresponding Siegel upper half space are given. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)