有限归约群的广义格林函数和单能类

Pub Date : 2021-09-03 DOI:10.1017/nmj.2021.12
T. Shoji
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引用次数: 2

摘要

摘要Lusztig计算归约群的广义Green函数的算法涉及某些标量上的模糊性。本文对具有任意特征的经典型归约群,明确地确定了这些标量,并消除了模糊性。我们的结果表明,所有经典类型的广义格林函数都是可计算的。
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GENERALIZED GREEN FUNCTIONS AND UNIPOTENT CLASSES FOR FINITE REDUCTIVE GROUPS, III
Abstract Lusztig’s algorithm of computing generalized Green functions of reductive groups involves an ambiguity on certain scalars. In this paper, for reductive groups of classical type with arbitrary characteristic, we determine those scalars explicitly, and eliminate the ambiguity. Our results imply that all the generalized Green functions of classical type are computable.
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