9 citations · 38 across the 21 of their papers we have counts for
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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…
Triality and etale algebras
Max-Albert Knus, Jean-Pierre Tignol
Trialitarian automorphisms are related to automorphisms of order 3 of the Dynkin diagram of type D4. Octic etale algebras with trivial discriminant, containing quartic subalgebras,…
Thin Severi-Brauer Varieties
Max-Albert Knus, Jean-Pierre Tignol
Severi-Brauer varieties are twisted forms of projective spaces (in the sense of Galois cohomology) and are associated in a functorial way to central simple algebras. Similarly quad…
Quadratic forms of dimension 8 with trivial discrimiand and Clifford algebra of index 4
Alexandre Masquelein, Anne Quéguiner-Mathieu, Jean-Pierre Tignol
Izhboldin and Karpenko proved in 2000 that any quadratic form of dimension 8 with trivial discriminant and Clifford algebra of index 4 is isometric to the transfer, with respect to…
Valuations on Algebras with Involution
J. -P. Tignol, A. R. Wadsworth
Let A be a central simple algebra with involution sigma of first or second kind. Let v be a valuation on the sigma-fixed part F of Z(A). A sigma-special v-gauge g on A is a kind of…
On the Pfister Number of Quadratic Forms
R. Parimala, V. Suresh, J. -P. Tignol
The generic quadratic form of even dimension n with trivial discriminant over an arbitrary field of characteristic different from 2 containing a square root of -1 can be written in…