NIVEAU HERMITIEN D'UNE ALGÈBRE DE QUATERNIONS À DIVISION MUNIE D'UNE INVOLUTION DE DEUXIÈME ESPÈCE

ABSTRACT

In this note we show that the hermitian level of a quaternion division algebra with involution of second kind, is always a power of 2, when it is finite. This result holds for a field with trivial or non-trivial involution, and quaternion division algebras with involution of first kind [6], [5], [9].

Acknowledgments