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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…
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…