Another proof of theorems of De Concini and Procesi
Another proof of theorems of De Concini and Procesi
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DOI：
10.1215/kjm/1250281653
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发表时间：
2004-08
影响因子：
--
通讯作者：
M. Hashimoto
中科院分区：
文献类型：
--
作者：
M. Hashimoto
本文给出了原在C. De Concini和C. Procesi，A characteristic free approach to invariant theory，Adv. Math.21（1976），330{354.我们讨论了一般线性群和辛群的作用。我们的方法是几何的，并利用了这样一个事实，即范畴映射是余维2或更多的主ber丛。
We give a new proof of some characteristic-free fundamental theorems in invariant theory rst proved in C. De Concini and C. Procesi, A characteristic free approach to invariant theory, Adv. Math. 21 (1976), 330{354. We treat the action of the general linear group and the symplectic group. Our approach is geometric, and utilizes the fact that the categorical quotients are principal ber bundles o codimension two or more.