Z. Reichstein

activity

19992004

collaborators

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math.RA2001

Fields of definition for division algebras

Martin Lorenz, Zinovy Reichstein, Louis H. Rowen +1

Let $A$ be a finite-dimensional division algebra containing a base field $k$ in its center $F$ . We say that $A$ is defined over a subfield $F_{0}$ of $F$ if $A = A_{0} \otimes_{F_{0}} F$ …

math.RA2000

Lattices and Parameter Reduction in Division Algebras

Martin Lorenz, Zinovy Reichstein

Let k be an algebraically closed field of characteristic 0 and let D be a division algebra whose center F contains k. We shall say that D can be reduced to r parameters if D = D_0…