The quadratic sum problem for symplectic pairs

DOI10.1016/j.laa.2023.12.004arXiv2305.19340OpenAlexW4389513678MaRDI QIDQ6187360

Clément de Seguins Pazzis

Publication date: 15 January 2024

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

Full work available at URL: https://arxiv.org/abs/2305.19340

zbMATH Keywords

decompositionsymplectic formsquadratic elementsinvariant factors

Mathematics Subject Classification ID

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

Cites Work

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• Sums of two triangularizable quadratic matrices over an arbitrary field
• Each symplectic matrix is a product of four symplectic involutions
• Sums of two square-zero matrices over an arbitrary field
• On linear combinations of two idempotent matrices over an arbitrary field
• Products of two involutions in classical groups of characteristic 2
• Paare alternierender Formen
• Sums and products of two quadratic matrices
• The sum and the product of two quadratic matrices: regular cases
• The sum of two quadratic matrices: exceptional cases
• When is a matrix a difference of two idempotents
• Sums of square-zero operators
• Products of two involutions in orthogonal and symplectic groups

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