Products of transvections in one conjugacy class of the symplectic group over the \(p\)-adic numbers

DOI10.1016/S0024-3795(00)00301-3zbMath0985.15011MaRDI QIDQ5935369

Huberta Lausch, Erich W. Ellers

Publication date: 19 May 2002

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

zbMATH Keywords

symplectic group\(p\)-adic numbersnonsingular alternating bilinear formproducts of transvections

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear algebraic groups over local fields and their integers (20G25)

Related Items (1)

2n-by-2n symplectic completions of matrices of order 2n − 1

Cites Work

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• Isometrien von Vektorräumen. I
• Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries
• Products of \(\lambda\)-transvections in Sp(2n,q)
• Products of simple isometries of given conjugacy types
• Products of positive transvections in the real symplectic group
• Products of reflections in 𝑈(𝑝,𝑞)
• Factorization into Symmetries and Transvections of Given Conjugacy Classes

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