Reversible quaternionic hyperbolic isometries

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DC Field	Value	Language
dc.contributor.author	Bhunia, Sushil	-
dc.contributor.author	Gongopadhyay, Krishnendu	-
dc.date.accessioned	2020-12-23T04:47:10Z	-
dc.date.available	2020-12-23T04:47:10Z	-
dc.date.issued	2020	-
dc.identifier.citation	Linear Algebra and its Applications, 591,pp. 268-283.	en_US
dc.identifier.other	https://doi.org/10.1016/j.laa.2019.12.043	-
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S0024379519305646?via%3Dihub	-
dc.identifier.uri	http://hdl.handle.net/123456789/3310	-
dc.description.abstract	Let Gbe a group. An element g∈Gis called reversibleif it is conjugate to g−1within G, and called strongly reversibleif it is conjugate to g−1by an order two element of G. Let HnHbe the n-dimensional quaternionic hyperbolic space. Let PSp(n, 1) be the isometry group of HnH. In this paper, we classify reversible and strongly reversible elements in Sp(n)and Sp(n, 1). Also, we prove that all the elements of PSp(n, 1)are strongly reversible.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier	en_US
dc.subject	Hyperbolic space	en_US
dc.subject	Quaternions	en_US
dc.subject	Reversible elements	en_US
dc.subject	Real elements	en_US
dc.subject	Involutions	en_US
dc.title	Reversible quaternionic hyperbolic isometries	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

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