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Title
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The canonical quadratic pair on a Clifford algebra and triality
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Author
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Abstract
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| We define a canonical quadratic pair on the Clifford algebra of an algebra with quadratic pair over a field. This allows us to extend to the characteristic 2 case the notion of trialitarian triples, from which we derive a characterization of totally decomposable quadratic pairs in degree 8. We also describe trialitarian triples involving algebras of small Schur index. |
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Language
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English
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Source (journal)
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Israel journal of mathematics. - Jerusalem, 1963, currens
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Publication
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Jerusalem
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Hebrew univ magnes press
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2021
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ISSN
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0021-2172
[print]
1565-8511
[online]
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DOI
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10.1007/S11856-021-2128-Y
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Volume/pages
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242
:1
(2021)
, p. 171-213
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ISI
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000643173300009
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Full text (Publisher's DOI)
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Full text (open access)
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