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- Publisher Website: 10.1016/j.aim.2007.04.005
- Scopus: eid_2-s2.0-34547654525
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Article: Minimal length elements in some double cosets of Coxeter groups
| Title | Minimal length elements in some double cosets of Coxeter groups |
|---|---|
| Authors | |
| Keywords | Character sheaf Coxeter group Hecke algebra Minimal length element Reductive group |
| Issue Date | 2007 |
| Citation | Advances in Mathematics, 2007, v. 215, n. 2, p. 469-503 How to Cite? |
| Abstract | We study the minimal length elements in some double cosets of Coxeter groups and use them to study Lusztig's G-stable pieces and the generalization of G-stable pieces introduced by Lu and Yakimov. We also use them to study the minimal length elements in a conjugacy class of a finite Coxeter group and prove a conjecture in [M. Geck, S. Kim, G. Pfeiffer, Minimal length elements in twisted conjugacy classes of finite Coxeter groups, J. Algebra 229 (2) (2000) 570-600]. © 2007 Elsevier Inc. All rights reserved. |
| Persistent Identifier | http://hdl.handle.net/10722/330091 |
| ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 2.022 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | He, Xuhua | - |
| dc.date.accessioned | 2023-08-09T03:37:43Z | - |
| dc.date.available | 2023-08-09T03:37:43Z | - |
| dc.date.issued | 2007 | - |
| dc.identifier.citation | Advances in Mathematics, 2007, v. 215, n. 2, p. 469-503 | - |
| dc.identifier.issn | 0001-8708 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/330091 | - |
| dc.description.abstract | We study the minimal length elements in some double cosets of Coxeter groups and use them to study Lusztig's G-stable pieces and the generalization of G-stable pieces introduced by Lu and Yakimov. We also use them to study the minimal length elements in a conjugacy class of a finite Coxeter group and prove a conjecture in [M. Geck, S. Kim, G. Pfeiffer, Minimal length elements in twisted conjugacy classes of finite Coxeter groups, J. Algebra 229 (2) (2000) 570-600]. © 2007 Elsevier Inc. All rights reserved. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Advances in Mathematics | - |
| dc.subject | Character sheaf | - |
| dc.subject | Coxeter group | - |
| dc.subject | Hecke algebra | - |
| dc.subject | Minimal length element | - |
| dc.subject | Reductive group | - |
| dc.title | Minimal length elements in some double cosets of Coxeter groups | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1016/j.aim.2007.04.005 | - |
| dc.identifier.scopus | eid_2-s2.0-34547654525 | - |
| dc.identifier.volume | 215 | - |
| dc.identifier.issue | 2 | - |
| dc.identifier.spage | 469 | - |
| dc.identifier.epage | 503 | - |
| dc.identifier.eissn | 1090-2082 | - |
| dc.identifier.isi | WOS:000250308500003 | - |