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 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 t...
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| Format | Journal Article |
| Language | English |
| Published |
09.04.2020
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| Online Access | Get full text |
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| Abstract | 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. |
|---|---|
| AbstractList | 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. |
| Author | Shoji, Toshiaki |
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| BackLink | https://doi.org/10.48550/arXiv.2004.04883$$DView paper in arXiv |
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| Snippet | Lusztig's algorithm of computing generalized Green functions of reductive
groups involves an ambiguity of certain scalars. In this paper, for reductive
groups... |
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| SubjectTerms | Mathematics - Representation Theory |
| Title | Generalized Green functions and unipotent classes for finite reductive groups, III |
| URI | https://arxiv.org/abs/2004.04883 |
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