From conjugacy classes in the Weyl group to unipotent classes, II
Let G be a connected reductive group over an algebraically closed field of characteristic p. In an earlier paper we defined a surjective map Phi[subscript p] from the set [underline W] of conjugacy classes in the Weyl group W to the set of unipotent classes in G. Here we prove three results for Phi...
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| Бусад зохиолчид: | |
| Формат: | Өгүүллэг |
| Хэл сонгох: | en_US |
| Хэвлэсэн: |
American Mathematical Society
2012
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| Онлайн хандалт: | http://hdl.handle.net/1721.1/71200 https://orcid.org/0000-0001-9414-6892 |
| Тойм: | Let G be a connected reductive group over an algebraically closed field of characteristic p. In an earlier paper we defined a surjective map Phi[subscript p] from the set [underline W] of conjugacy classes in the Weyl group W to the set of unipotent classes in G. Here we prove three results for Phi[subscript p]. First we show that Phi[subscript p] has a canonical one-sided inverse. Next we show that Phi[subscript 0]=r Phi[subscript p for a unique map r. Finally, we construct a natural surjective map from [underline W] to the set of special representations of W which is the composition of Phi[subscript 0] with another natural map and we show that this map depends only on the Coxeter group structure of W. |
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