2022/05/09 by Richard Cushman, Cushman, Richard
Computer Science · Mathematics · #15A21 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2205.04407
openalex publication_date 2022/05/09 · openalex created_date 2022/05/22 · openalex updated_date 2026/07/28
Let (V,γ) be a real finite dimensional vector space with a symmetric bilinear form γ whose kernel is spanned by a nonzero vector. The set of invertible real linear mappings of (V, γ) into itself forms a Lie group called the generalized orthogonal group. This paper finds a unique representative for each orbit of the adjoint action of the generalized orthogonal group on its Lie algebra.