Real elements in Tn(K)

DOI10.1080/03081087.2012.703187zbMath1271.20061OpenAlexW2062990235MaRDI QIDQ5300053

Roksana Słowik

Publication date: 24 June 2013

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2012.703187

zbMATH Keywords

general linear groupstriangular matricesreal elementstriangular matrix groupsconjugacy of matrices

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Other matrix groups over fields (20H20)

Cites Work

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• About ambivalent groups
• Involutions for upper triangular matrix algebras.
• Conditions necessary for optimality in the convex Bolza problem with phase constraints of a general form
• Reality properties of conjugacy classes in algebraic groups.
• Products of two involutions with prescribed eigenvalues and some applications
• Products of two involutory matrices over skewfields
• Conjugacy in groups of upper triangular matrices
• Irreducibility criterion for quasiregular representations of the group of finite upper triangular matrices
• Reality properties of conjugacy classes in \(G_2\).
• On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
• Product of two involutions
• Real and strongly real classes in SL n (q)
• Real and strongly real classes in PGL n (q) and quasi-simple covers of PSL n (q)
• Real conjugacy classes in algebraic groups and finite groups of Lie type
• Involutions and characters of upper triangular matrix groups
• On the geometry of linear involutions

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