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Title
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Totally decomposable quadratic pairs
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Author
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Abstract
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| In this paper we show that a split central simple algebra with quadratic pair which decomposes into a tensor product of quaternion algebras with involution and a quaternion algebra with quadratic pair is adjoint to a quadratic Pfister form. This result is new in characteristic two, otherwise it is equivalent to the Pfister Factor Conjecture proven in Becher (Invent Math 173:1-6, 2008). |
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Language
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English
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Source (journal)
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Mathematische Zeitschrift. - Berlin, 1918, currens
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Publication
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Berlin
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2016
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ISSN
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0025-5874
[print]
1432-1823
[online]
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DOI
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10.1007/S00209-016-1648-3
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Volume/pages
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284
:1-2
(2016)
, p. 117-129
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ISI
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000383246800007
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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