Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/2191
Title: Conjugate real classes in general linear groups
Authors: Gongopadhyay, Krishnendu
Keywords: Nontrivial involution
Representation
Degree 𝑛 over F
Issue Date: 2019
Publisher: World Scientific
Citation: Journal of Algebra and its Applications, 18(3).
Abstract: Let F be a field with a nontrivial involution 𝑐:𝛼↦𝛼𝑐. An element π‘”βˆˆGL𝑛(F) is called 𝑐-real if it is conjugate to (𝑔𝑐)βˆ’1. We prove that for 𝑛β‰₯2, π‘”βˆˆGL𝑛(F) is 𝑐-real if and only if it has a representation in some unitary group of degree 𝑛 over F.
Description: Only IISERM authors are available in the record.
URI: https://www.worldscientific.com/doi/abs/10.1142/S0219498819500543
http://hdl.handle.net/123456789/2191
Appears in Collections:Research Articles

Files in This Item:
File Description SizeFormat 
Need to add pdf.odt8.63 kBOpenDocument TextView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.