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

A. S. Rapinchuk

Izvestiya. Mathematics , Tome 31 (1988) no. 2, pp. 349-379.

Résumé

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.

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