The z-classes of quaternionic hyperbolic isometries

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DC Field	Value	Language
dc.contributor.author	Gongopadhyay, Krishnendu	-
dc.date.accessioned	2020-12-08T05:31:40Z	-
dc.date.available	2020-12-08T05:31:40Z	-
dc.date.issued	2013	-
dc.identifier.citation	Journal of Group Theory,16(6),pp.941-964.	en_US
dc.identifier.other	https://doi.org/10.1515/jgt-2013-0013	-
dc.identifier.uri	https://www.degruyter.com/view/journals/jgth/16/6/article-p941.xml?language=en	-
dc.identifier.uri	http://hdl.handle.net/123456789/2788	-
dc.description.abstract	Let be the n-dimensional quaternionic hyperbolic space. The group acts as the isometry group of . We analyze when two isometries of commute. We apply this analysis to determine the conjugacy classes of centralizers or the z-classes in . Furthermore, we count the conjugacy classes of centralizers. In Appendix A, we show that our methods can be used to obtain the centralizers up to conjugacy in real and complex hyperbolic geometries as well. This provides a unified approach to the determination of the conjugacy classes of centralizers in hyperbolic geometries.	en_US
dc.language.iso	en	en_US
dc.publisher	De Gruyter	en_US
dc.subject	Isometry group	en_US
dc.subject	n-dimensional	en_US
dc.subject	. The group acts as the	en_US
dc.subject	Quaternionic hyperbolic space	en_US
dc.title	The z-classes of quaternionic hyperbolic isometries	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

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