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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.RA2004
Pfister involutions
E Bayer-Fluckiger, R Parimala, A Queguiner-Mathieu
The question of the existence of an analogue, in the framework of central simple algebras with involution, of the notion of Pfister form is raised. In particular, algebras with ort…