Conjugate real classes in general linear groups
| dc.contributor.author | Gongopadhyay, Krishnendu | |
| dc.date.accessioned | 2020-11-25T07:14:11Z | |
| dc.date.available | 2020-11-25T07:14:11Z | |
| dc.date.issued | 2019 | |
| dc.description | Only IISERM authors are available in the record. | |
| dc.description.abstract | Let F be a field with a nontrivial involution 𝑐:𝛼↦𝛼𝑐. An element 𝑔∈GL𝑛(F) is called 𝑐-real if it is conjugate to (𝑔𝑐)−1. We prove that for 𝑛≥2, 𝑔∈GL𝑛(F) is 𝑐-real if and only if it has a representation in some unitary group of degree 𝑛 over F. | en_US |
| dc.identifier.citation | Journal of Algebra and its Applications, 18(3). | en_US |
| dc.identifier.other | https://doi.org/10.1142/S0219498819500543 | |
| dc.identifier.uri | https://www.worldscientific.com/doi/abs/10.1142/S0219498819500543 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/2191 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific | en_US |
| dc.subject | Nontrivial involution | en_US |
| dc.subject | Representation | en_US |
| dc.subject | Degree 𝑛 over F | en_US |
| dc.title | Conjugate real classes in general linear groups | en_US |
| dc.type | Article | en_US |