Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673206 | Indagationes Mathematicae | 2008 | 10 Pages |
Abstract
The Bröcker-Prestel local-global principle characterizes weak isotropy of quadratic forms over a formally real field in terms of weak isotropy over the Henselizations and isotropy over the real closures of that field. A Hermitian analogue of this principle is presented for algebras of index at most two. An improved result is also presented for algebras with a decomposable involution, algebras of Pythagorean index at most two, and algebras over SAP and ED fields.
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