The paper describes the congruent centralizer of the matrix \( {\Delta}_n=\left(\begin{array}{llll}\hfill & \hfill & \hfill & 1\hfill \\ {}\hfill & \hfill & \dots \hfill & i\hfill \\ {}\hfill & 1\hfill & \dots \hfill & \hfill \\ {}1\hfill & i\hfill & \hfill & \hfill \end{array}\right) \), representing one of three blocks in the Horn–Sergeichuk canonical form, i.e., the set of matrices X such that X ∗Δ n X = Δ n .
Similar content being viewed by others
Reference
R. A. Horn and C. R. Johnson, Matrix Analysis, Second edition, Cambridge University Press, Cambridge (2013).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 453, 2016, pp. 104–113.
Rights and permissions
About this article
Cite this article
Ikramov, K.D. The Congruent Centralizer of the Horn–Sergeichuk Matrix. J Math Sci 224, 883–889 (2017). https://doi.org/10.1007/s10958-017-3458-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-017-3458-5