A property of special representations of Weyl groups.
A property of special representations of Weyl groups.
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外尔群特殊表示的性质。
DOI：
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发表时间：
1983
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通讯作者：
N. Spaltenstein
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作者：
N. Spaltenstein
在本文中，我们将证明一个关于特殊表示的归纳法定理（定理a），该定理证明了在经典群的情况下特殊表示的特征。本文的最初动机是W. Borho在与J.-L.的联合工作中提出的一个问题。Brylinski[6]。这个问题在推论1中得到了回答，最早是由G. Kempken[8]对经典Weyl群（这是最重要的例子，因为我们可以用表来表示特殊的Weyl群）解决的。
In this paper, we shall prove a theorem about induction of special representations (theorem A), which turns out to characterize special representations in the case of classical groups. The original motivation for this paper is a question asked by W. Borho in connection with bis joint work with J.-L. Brylinski [6]. This question, which is answered in corollary l, was solved first by G. Kempken [8] for classical Weyl groups (the most important case since we can use tables for the exceptional Weyl groups).