Grids and the arithmetics of Jordan pairs

We show that every 2-finitedimensional covering standard division grid of a Jordan pair $V$ over a Henselian field canonically determines a norm on $V$. This is used to classify maximal orders which contain a covering division grid of $V$.We show that weakly separable orders always satisfy this condition and link their existence to ramification properties of $V$.

Appeared in J. Algebra 213 (1999), 77--128.

Holger P. Petersson <Holger.Petersson@FernUni-Hagen.de>