GENERALIZED GREEN FUNCTIONS AND UNIPOTENT CLASSES FOR FINITE REDUCTIVE GROUPS, III

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 a...

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Published inNagoya mathematical journal Vol. 247; pp. 552 - 573
Main Author SHOJI, TOSHIAKI
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.09.2022
Subjects
Algorithms
Ambiguity
Green's functions
Scalars
20G05
20G40
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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.
AbstractList 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.
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.
Author SHOJI, TOSHIAKI
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Cites_doi 10.1016/0001-8708(86)90071-X
10.1007/BF01394315
10.1016/0021-8693(84)90084-X
10.2969/aspm/00610289
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Snippet Lusztig’s algorithm of computing generalized Green functions of reductive groups involves an ambiguity on certain scalars. In this paper, for reductive groups...
Abstract Lusztig’s algorithm of computing generalized Green functions of reductive groups involves an ambiguity on certain scalars. In this paper, for...
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SubjectTerms Algorithms
Ambiguity
Green's functions
Scalars
Title GENERALIZED GREEN FUNCTIONS AND UNIPOTENT CLASSES FOR FINITE REDUCTIVE GROUPS, III
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