Multiplicative arithmetic of division algebras over number fields, and the metaplectic problem

The central feature of this paper is the calculation of the metaplectic kernel for the algebraic groups determined by $SL(1,D)$, where $D$ is a finite-dimensional central division ring over a number field $K$. It is also shown that these results can be extended to a number of other $K$-anisotropic groups.
Bibliography: 37 titles.