3 papers
math.RA2009
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…
math.RA2008
Algebras with involution that become hyperbolic over the fonction field of a conic
Anne Quéguiner-Mathieu, Jean-Pierre Tignol
We study central simple algebras with involution of the first kind that become hyperbolic over the function field of the conic associated to a given quaternion algebra . We clas…
math.RA2006
A generic characterization of direct summands for orthogonal involutions
Anne Quéguiner-Mathieu
The `transcendental methods' in the algebraic theory of quadratic forms are based on two major results, proved in the 60's by Cassels and Pfister, and known as the representation a…