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- Publisher Website: 10.1016/j.aim.2021.107688
- Scopus: eid_2-s2.0-85102902248
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Article: Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes
Title | Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes |
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Authors | |
Keywords | Conjugacy classes Partial orders Reductive groups Weyl groups |
Issue Date | 2021 |
Citation | Advances in Mathematics, 2021, v. 383, article no. 107688 How to Cite? |
Abstract | Let G be a reductive group over an algebraically closed field and let W be its Weyl group. In a series of papers, Lusztig introduced a map from the set [W] of conjugacy classes of W to the set [Gu] of unipotent classes of G. This map, when restricted to the set of elliptic conjugacy classes [We] of W, is injective. In this paper, we show that Lusztig's map [We]→[Gu] is order-reversing, with respect to the natural partial order on [We] arising from combinatorics and the natural partial order on [Gu] arising from geometry. |
Persistent Identifier | http://hdl.handle.net/10722/329696 |
ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 2.022 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Adams, Jeffrey | - |
dc.contributor.author | He, Xuhua | - |
dc.contributor.author | Nie, Sian | - |
dc.date.accessioned | 2023-08-09T03:34:40Z | - |
dc.date.available | 2023-08-09T03:34:40Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Advances in Mathematics, 2021, v. 383, article no. 107688 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | http://hdl.handle.net/10722/329696 | - |
dc.description.abstract | Let G be a reductive group over an algebraically closed field and let W be its Weyl group. In a series of papers, Lusztig introduced a map from the set [W] of conjugacy classes of W to the set [Gu] of unipotent classes of G. This map, when restricted to the set of elliptic conjugacy classes [We] of W, is injective. In this paper, we show that Lusztig's map [We]→[Gu] is order-reversing, with respect to the natural partial order on [We] arising from combinatorics and the natural partial order on [Gu] arising from geometry. | - |
dc.language | eng | - |
dc.relation.ispartof | Advances in Mathematics | - |
dc.subject | Conjugacy classes | - |
dc.subject | Partial orders | - |
dc.subject | Reductive groups | - |
dc.subject | Weyl groups | - |
dc.title | Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.aim.2021.107688 | - |
dc.identifier.scopus | eid_2-s2.0-85102902248 | - |
dc.identifier.volume | 383 | - |
dc.identifier.spage | article no. 107688 | - |
dc.identifier.epage | article no. 107688 | - |
dc.identifier.eissn | 1090-2082 | - |
dc.identifier.isi | WOS:000642480700013 | - |