9 citations · 38 across the 21 of their papers we have counts for
23 papers
Witt groups of Severi-Brauer varieties and of function fields of conics
Anne Quéguiner-Mathieu, Jean-Pierre Tignol
The Witt group of skew hermitian forms over a division algebra with symplectic involution is shown to be canonically isomorphic to the Witt group of symmetric bilinear forms ov…
Trialitarian Triples
Demba Barry, Jean-Pierre Tignol
Trialitarian triples are triples of central simple algebras of degree 8 with orthogonal involution that provide a convenient structure for the representation of trialitarian algebr…
The discriminant Pfister form of an algebra with involution of capacity four
Karim Johannes Becher, Nicolas Grenier-Boley, Jean-Pierre Tignol
To an orthogonal or unitary involution on a central simple algebra of degree 4, or to a symplectic involution on a central simple algebra of degree 8, we associate a Pfister form t…
Decomposability of orthogonal involutions in degree 12
Anne Quéguiner-Mathieu, Jean-Pierre Tignol
A theorem of Pfister asserts that every -dimensional quadratic form with trivial discriminant and trivial Clifford invariant over a field of characteristic different from d…
Linkage of Pfister forms over
Adam Chapman, Jean-Pierre Tignol
In this note, we prove the existence of a set of -fold Pfister forms of cardinality over which do not share a common -fold factor. This…
Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties
Anne Quéguiner-Mathieu, Jean-Pierre Tignol
An orthogonal involution on a central simple algebra , after scalar extension to the function field of the Severi--Brauer variety of , is adjoint to a qu…