Computing Galois Groups of Completely Reducible Differential Equations
Computing Galois Groups of Completely Reducible Differential Equations
复制标题
计算完全可约微分方程的伽罗瓦群
DOI：
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发表时间：
1999
影响因子：
0.7
通讯作者：
M. Singer
中科院分区：
文献类型：
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作者：
E. Compoint;M. Singer
我们给出了一种算法来计算与完全可约线性微分方程（即伽罗瓦群可约化的方程）相关的 Picard?Vessiot 扩展的表示。使用它，我们展示了如何计算此类方程的伽罗瓦群以及一般方程的伽罗瓦群的性质。
We give an algorithm to calculate a presentation of the Picard?Vessiot extension associated to a completely reducible linear differential equation (i.e. an equation whose Galois group is reductive). Using this, we show how to compute the Galois group of such an equation as well as properties of the Galois groups of general equations.