Structure of isometry group of bilinear spaces

DOI10.1016/j.laa.2005.11.020zbMath1101.15028OpenAlexW2133056654MaRDI QIDQ2496621

Dragomir Ž. Djoković

Publication date: 20 July 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.11.020

zbMATH Keywords

asymmetryisometry groupToeplitz matrixbilinear spaceGabriel block

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Quadratic and bilinear forms, inner products (15A63) Classical groups (11E57)

Related Items (6)

Isometric and selfadjoint operators on a vector space with nondegenerate diagonalizable form ⋮ Equivalence and normal forms of bilinear forms ⋮ Lie algebras and bilinear forms in characteristic 2 ⋮ Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence ⋮ Canonical matrices of bilinear and sesquilinear forms ⋮ Reductivity of the Lie Algebra of a Bilinear Form

Cites Work

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• The number of congruence classes in \(M_ n(\mathbb{F}_ q)\)
• Kohomologie von p-Lie-Algebren und nilpotente Elemente. (Cohomology of p- Lie-algebras and nilpotent elements)
• Appendix: Degenerate bilinear forms
• The equivalence of bilinear forms
• An elementary proof of Gabriel's theorem on degenerate bilinear forms and its generalization.
• Jordan decomposition of bilinear forms
• Relationen zwischen symplektischen Transvektionen.
• Characterization of bilinear spaces with unimodular isometry group
• On the conjugacy classes in the unitary, symplectic and orthogonal groups
• Bilinear forms over an algebraically closed field

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