Broecker-Prestel定理的一个厄米式类似物
A hermitian analogue of the Broecker-Prestel theorem
摘要：
Broecker-Prestel局部-整体原理用场的Henselizations上的弱各向同性和实闭包上的各向同性刻画了形式实域上二次型的弱各向同性.一个埃尔米特模拟这一原则提出的代数指数至多为2。对于具有可分解对合的代数、勾股指数至多为2的代数以及SAP域和ED域上的代数，给出了一个改进的结果。
英文摘要：
The Broecker-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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