Products of unipotent matrices of index 2

DOI10.1016/0024-3795(91)90329-UzbMath0758.15004OpenAlexW2013110745MaRDI QIDQ1173950

Jin-Hsien Wang, Pei Yuan Wu

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90329-u

zbMATH Keywords

factorizationdeterminantcomplex matrixproducts of unipotent matrices of index 2

Mathematics Subject Classification ID

Factorization of matrices (15A23)

Related Items (15)

Powers of 1-cyclic conjugacy classes in the groups GL\(_ n(F)\) and SL\(_ n(F)\) ⋮ Sums and products of two quadratic matrices ⋮ Unnamed Item ⋮ Factorization of matrices into quadratic ones. II ⋮ Factorization of matrices into quadratic ones. III ⋮ The sum and the product of two quadratic matrices: regular cases ⋮ Product of invertible operators of quadratic type ⋮ On the decompositions of infinite upper triangular matrices over rings ⋮ Zero-sum triangles for involutory, idempotent, nilpotent and unipotent matrices ⋮ Unnamed Item ⋮ Products of involutions in the stable general linear group ⋮ Products of unipotent elements in certain algebras ⋮ The product of two invertible quadratic matrices: exceptional cases ⋮ Products of two unipotent matrices of index 2 ⋮ Sums of commuting square-zero transformations

Cites Work

• On the operator equation \(BX - XA = Q\)
• Decomposition of matrices into three involutions
• Products of involutions
• Product of two involutions
• Sums of idempotent matrices
• When is a matrix a difference of two idempotents
• When is a matrix a sum of idempotents?
• A factorization theorem for matrices
• The Group Generated by Unipotent Operators
• Sums of square-zero operators
• Products of involutory matrices. I
• Unnamed Item
• Unnamed Item
• Unnamed Item

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