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Article: Dimensions of Affine Deligne-Lusztig Varieties in Affine Flag Varieties
Title | Dimensions of Affine Deligne-Lusztig Varieties in Affine Flag Varieties |
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Authors | |
Keywords | Affine Deligne Lusztig varieties |
Issue Date | 2010 |
Citation | Documenta Mathematica, 2010, v. 15, p. 1009-1028 How to Cite? |
Abstract | Affine Deligne-Lusztig varieties are analogs of Deligne-Lusztig varieties in the context of an affine root system. We prove a conjecture stated in the paper [5] by Haines, Kottwitz, Reuman, and the first named author, about the question which affine Deligne-Lusztig varieties (for a split group and a basic σ-conjugacy class) in the Iwahori case are non-empty. If the underlying algebraic group is a classical group and the chosen basic σ-conjugacy class is the class of b = 1, we also prove the dimension formula predicted in op. cit. in almost all cases. |
Persistent Identifier | http://hdl.handle.net/10722/329233 |
ISSN | 2023 SCImago Journal Rankings: 1.187 |
DC Field | Value | Language |
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dc.contributor.author | Görtz, Ulrich | - |
dc.contributor.author | He, Xuhua | - |
dc.date.accessioned | 2023-08-09T03:31:20Z | - |
dc.date.available | 2023-08-09T03:31:20Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Documenta Mathematica, 2010, v. 15, p. 1009-1028 | - |
dc.identifier.issn | 1431-0635 | - |
dc.identifier.uri | http://hdl.handle.net/10722/329233 | - |
dc.description.abstract | Affine Deligne-Lusztig varieties are analogs of Deligne-Lusztig varieties in the context of an affine root system. We prove a conjecture stated in the paper [5] by Haines, Kottwitz, Reuman, and the first named author, about the question which affine Deligne-Lusztig varieties (for a split group and a basic σ-conjugacy class) in the Iwahori case are non-empty. If the underlying algebraic group is a classical group and the chosen basic σ-conjugacy class is the class of b = 1, we also prove the dimension formula predicted in op. cit. in almost all cases. | - |
dc.language | eng | - |
dc.relation.ispartof | Documenta Mathematica | - |
dc.subject | Affine Deligne | - |
dc.subject | Lusztig varieties | - |
dc.title | Dimensions of Affine Deligne-Lusztig Varieties in Affine Flag Varieties | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.4171/DM/322 | - |
dc.identifier.scopus | eid_2-s2.0-80655135850 | - |
dc.identifier.volume | 15 | - |
dc.identifier.spage | 1009 | - |
dc.identifier.epage | 1028 | - |
dc.identifier.eissn | 1431-0643 | - |