Decomposition of symplectic matrices into products of commutators of symplectic involutions

DOI10.1080/00927872.2020.1740241zbMath1448.15014OpenAlexW3011950451MaRDI QIDQ5119334

Xin Hou

Publication date: 3 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2020.1740241

zbMATH Keywords

involutionssymplectic matricescommutators of involutions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Commutativity of matrices (15A27)

Related Items (3)

Products of commutators of symplectic involutions ⋮ Involution widths of skew linear groups generated by involutions ⋮ Every real symplectic matrix is a product of commutators of real symplectic involutions

Cites Work

• Unnamed Item
• Each symplectic matrix is a product of four symplectic involutions
• Decomposition of matrices into three involutions
• Products of involutions
• Contragredient equivalence: A canonical form and some applications
• Decomposition of matrices into commutators of involutions
• Products of symplectic normal matrices
• Decomposition of infinite matrices into products of commutators of involutions
• Expressing infinite matrices as products of involutions
• Every real symplectic matrix is a product of real symplectic involutions
• Generation of the symplectic group by involutions
• Expressing infinite matrices over rings as products of involutions
• A factorization theorem for matrices
• On the matrix equations $AX - XB = C$ and $AX - YB = C$

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