The coherency index
The coherency index
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一致性指数
DOI：
10.1016/s0012-365x(98)00072-7
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
U. Tönges
中科院分区：
文献类型：
--
作者：
J. Koolen;V. Moulton;U. Tönges
通常，度规的相干分解是将度规自然分解为更简单的度规之和。只有平凡相干分解的度规称为素数。本文给出了一个指标的公式，称为相干指标，它允许我们证明在有限集合上只存在有限多个素数度量（直到与一个正标量相乘）。此外，我们给出的相干指数公式也为我们提供了一个计算工具，通过它可以计算度量到素数的相干分解。
A coherent decomposition of a metric is, in general, a natural decomposition of the metric into a sum of simpler metrics. A metric that has only a trivial coherent decomposition is called prime. In this paper we give a formula for an index, called the coherency index, which allows us to prove that there exist only finitely many prime metrics (up to multiplication by a positive scalar) on a finite set. Moreover, the formula that we give for the coherency index also provides us with a computational tool by which one can compute coherent decompositions of metrics into primes.