Algebre de Clifford d'un antiautomorphisme
We give a definition of the Clifford algebra of an antiautomorphism of a central simple algebra, and compute it for the algebras of degree 2.
math.RA↗
arXiv subjects
Anne Cortella
Publications and source records attributed to Anne Cortella.
On a conjecture of Le Bruyn
Given a generic field extension F/k of degree n>3 (i.e. the Galois group of the normal closure of F is isomorphic to the symmetric group $S_n$), we prove that the norm torus, defined as the kernel of the norm map $N:R_{F/k}(G_m)\to\G_m$, is not rational over k.
math.AG↗