When does a linear map belong to at least one orthogonal or symplectic group?

DOI10.1016/j.laa.2011.08.035zbMath1236.15027arXiv1008.4458OpenAlexW2078475798MaRDI QIDQ665958

Clément de Seguins Pazzis

Publication date: 7 March 2012

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

Full work available at URL: https://arxiv.org/abs/1008.4458

zbMATH Keywords

symplectic grouporthogonal groupquadratic formvector spacelinear map

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21) Orthogonal matrices (15B10)

Related Items (5)

Invariant bilinear forms under the operator group of order p³ with odd prime p ⋮ Existence of an invariant form under a linear map ⋮ Conjugate real classes in general linear groups ⋮ Unnamed Item ⋮ Space of invariant bilinear forms

Cites Work

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• On the existence of an invariant non-degenerate bilinear form under a linear map
• Pairs of alternating forms and products of two skew-symmetric matrices
• Conjugacy classes in linear groups
• The Jordan canonical forms of complex orthogonal and skew-symmetric matrices
• Canonical matrices of isometric operators on indefinite inner product spaces
• On isometries of inner product spaces
• The role of symmetric matrices in the study of general matrices
• CLASSIFICATION PROBLEMS FOR SYSTEMS OF FORMS AND LINEAR MAPPINGS

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