Isotropy groups of the action of orthogonal $^\ast$congruence on Hermitian matrices

Starčič, Tadej (author)

We present a procedure which enables the computation and the description of structures of isotropy subgroups of the group of complex orthogonal matrices with respect to the action of $^\ast$congruence on Hermitian matrices. A key ingredient in our proof is an algorithm giving solutions of a certain rectangular block (complex-alternating) upper triangular Toeplitz matrix equation.

• Language: English
• Keywords: isotropy groups, matrix equations, complex orthogonal matrices, Hermitian matrices, Toeplitz matrices
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: Str. 101-135
• Numbering: Vol. 694
• PID: 20.500.12556/RUL-156331
• UDC: 512.64
• ISSN on article: 0024-3795
• DOI: 10.1016/j.laa.2024.04.013
• COBISS.SI-ID: 194458115
• Publication date in RUL: 20.05.2024

Record is a part of a journal

• Title: Linear algebra and its applications
• Shortened title: Linear algebra appl.
• Publisher: Elsevier, International Linear Algebra Society
• ISSN: 0024-3795
• COBISS.SI-ID: 1119247

Licences

• License: CC BY-NC 4.0, Creative Commons Attribution-NonCommercial 4.0 International
• Link: http://creativecommons.org/licenses/by-nc/4.0/
• Description: A creative commons license that bans commercial use, but the users don’t have to license their derivative works on the same terms.

Secondary language

• Language: Slovenian
• Keywords: izotropne grupe, matrične enačbe, kompleksne ortogonalne matrike, hermitske matrike, Toeplitzove matrike

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P1-0291
• Name: Analiza in geometrija

• Funder: ARRS - Slovenian Research Agency
• Project number: J1-3005
• Name: Kompleksna in geometrijska analiza