Villa, Oliver and Ellers, Erich W. (2005) Siegel Transformations for even characteristic. Linear Algebra and its Applications, 395. pp. 163174. ISSN 00243795

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Siegel Transformations for even characteristic.pdf  Published Version Download (235kB)  Preview 
Official Website: http://dx.doi.org/10.1016/j.laa.2004.08.002
Abstract
Let V be a vector space over a field K of even characteristic and ∣K∣ > 3. Suppose K is perfect and π is an element in the special orthogonal group SO(V) with dim B(π)=2d. Then π = ρ1 ⋯ ρd−1κ, where ρj, j = 1 ,…, d − 1, are Siegel transformations and κ ∈ SO(V) with dim B(κ) = 2. The length of π with respect to the Siegel transformations is d if π is unipotent or if dim B (π)/rad B(π) ⩾ 4; otherwise it is d + 1.
Item Type:  Scientific journal article, Newspaper article or Magazine article 

Uncontrolled Keywords:  Factorization; Siegel transformation; Orthogonal group; Quadratic form; Singular vector 
Subjects:  Mathematical sciences Mathematical sciences > Mathematics Mathematical sciences > Mathematics > Pure mathematics 
Department/unit:  Dipartimento tecnologie innovative 
Depositing User:  Oliver Villa 
Date Deposited:  25 Feb 2015 07:17 
Last Modified:  10 May 2016 13:13 
URI:  http://repository.supsi.ch/id/eprint/1703 
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