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Geometric analysis on H -type groups related to division algebras

✍ Scribed by Ovidiu Calin; Der-Chen Chang; Irina Markina


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
256 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

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. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)