Villa, Oliver and Lewis, David and Mahmoudi, Mohammad and Tignol, JeanPierre (2006) Decomposable Quadratic Forms and Involutions. Journal of Algebra, 298 (2). pp. 612629. ISSN 00218693

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Abstract
In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomposes as a tensor product of quadratic forms when its adjoint involution decomposes as a tensor product of involutions on central simple algebras. We give a positive answer for quadratic forms defined over local or global fields (or, more generally, over any linked field) and produce counterexamples over fields of rational fractions in two variables over any formally real field.
Item Type:  Scientific journal article, Newspaper article or Magazine article 

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 07:15 
Last Modified:  10 May 2016 13:09 
URI:  http://repository.supsi.ch/id/eprint/1701 
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