On products of two involutions in the orthogonal group of a vector space

DOI10.1016/0024-3795(87)90091-7zbMath0623.20035OpenAlexW2013518422MaRDI QIDQ1091473

Frieder Knüppel, Klaus Nielsen

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90091-7

zbMATH Keywords

orthogonal groupinvolutionspathorthogonal decompositionorthogonally indecomposable \(\pi \)-modules

Mathematics Subject Classification ID

Factorization of matrices (15A23) Generators, relations, and presentations of groups (20F05) Other matrix groups over fields (20H20) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (9)

Decomposition of complex hyperbolic isometries by involutions ⋮ Reversible quaternionic hyperbolic isometries ⋮ Commutator groups of orthogonal groups over the reals with emphasis on Lorentz groups. ⋮ Expressing infinite matrices as products of involutions ⋮ Reality of unipotent elements in classical Lie groups ⋮ Reversible complex hyperbolic isometries ⋮ Bireflectionality of the orthogonal group over a valuation domain ⋮ Supernormal mappings. I: Orthogonally indecomposable modules and applications ⋮ Reversibility of Hermitian isometries

Cites Work

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• Bireflectionality of the weak orthogonal and the weak symplectic groups
• On bireflectionality and trireflectionality of orthogonal groups
• Isometrien von Vektorräumen. I
• Bireflectionality of orthogonal and symplectic groups
• Product of two involutions
• On a Normal Form of the Orthogonal Transformation I

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