论文标题

有限还原组的广义绿色功能和一项单位类别,iii

Generalized Green functions and unipotent classes for finite reductive groups, III

论文作者

Shoji, Toshiaki

论文摘要

Lusztig的计算还原基团的通用绿色函数的算法涉及某些标量的歧义。在本文中,对于具有任意特征的经典类型的还原组,我们明确确定这些标量,并消除歧义。我们的结果表明,所有经典类型的广义绿色功能都是可计算的。

Lusztig's algorithm of computing generalized Green functions of reductive groups involves an ambiguity of 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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