2021
DOI: 10.1007/s11856-021-2128-y
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The canonical quadratic pair on a Clifford algebra and triality

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Cited by 3 publications
(5 citation statements)
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“…Likewise, Dolphin-Quéguiner-Mathieu show in [7,Prop. 3.6] that a canonical quadratic pair (τ 0 , g 0 ) can be defined on C 0 (V, q) when dim V ≡ 0 mod 8 by associating to τ 0 the following semitrace:…”
Section: Clifford Groups and Lie Algebrasmentioning
confidence: 99%
See 1 more Smart Citation
“…Likewise, Dolphin-Quéguiner-Mathieu show in [7,Prop. 3.6] that a canonical quadratic pair (τ 0 , g 0 ) can be defined on C 0 (V, q) when dim V ≡ 0 mod 8 by associating to τ 0 the following semitrace:…”
Section: Clifford Groups and Lie Algebrasmentioning
confidence: 99%
“…4. A noteworthy feature of our discussion is that the restriction on the characteristic of the base field is made obsolete thanks to the ground-breaking paper [7] of Dolphin-Quéguiner-Mathieu, in which a canonical quadratic pair is defined on Clifford algebras (and where the cohomological approach to the definition of ∂ in arbitrary characteristic is given [7,Th. 4.11]).…”
Section: Introductionmentioning
confidence: 99%
“…as expected. Likewise, Dolphin-Quéguiner-Mathieu show in [7,Prop. 3.6] that a canonical quadratic pair .…”
Section: Clifford Algebrasmentioning
confidence: 99%
“…The purpose of the first subsections of this section is to recall succinctly the Clifford groups of even-dimensional quadratic spaces and their twisted analogues (in the sense of Galois cohomology), which are defined in arbitrary characteristic through central simple algebras with quadratic pair. Most of the material is taken from [13], but we incorporate a few complements that are made possible by the definition of canonical quadratic pairs on Clifford algebras by Dolphin-Quéguiner-Mathieu [7].…”
Section: Clifford Groups and Lie Algebrasmentioning
confidence: 99%
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