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- Publisher Website: 10.1016/j.jalgebra.2012.09.017
- Scopus: eid_2-s2.0-84867473191
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Article: Elements with finite Coxeter part in an affine Weyl group
Title | Elements with finite Coxeter part in an affine Weyl group |
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Authors | |
Keywords | Affine Weyl group Coxeter element Minimal length element |
Issue Date | 2012 |
Citation | Journal of Algebra, 2012, v. 372, p. 204-210 How to Cite? |
Abstract | Let W a be an affine Weyl group and η: W a → W 0 be the natural projection to the corresponding finite Weyl group. We say that w∈Wa has finite Coxeter part if η(w) is conjugate to a Coxeter element of W 0. The elements with finite Coxeter part are a union of conjugacy classes of W a. We show that for each conjugacy class O of W a with finite Coxeter part there exists a unique maximal proper parabolic subgroup W J of W a, such that the set of minimal length elements in O is exactly the set of Coxeter elements in W J. Similar results hold for twisted conjugacy classes. © 2012 Elsevier Inc. |
Persistent Identifier | http://hdl.handle.net/10722/329256 |
ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 1.023 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | He, Xuhua | - |
dc.contributor.author | Yang, Zhongwei | - |
dc.date.accessioned | 2023-08-09T03:31:30Z | - |
dc.date.available | 2023-08-09T03:31:30Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Journal of Algebra, 2012, v. 372, p. 204-210 | - |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.uri | http://hdl.handle.net/10722/329256 | - |
dc.description.abstract | Let W a be an affine Weyl group and η: W a → W 0 be the natural projection to the corresponding finite Weyl group. We say that w∈Wa has finite Coxeter part if η(w) is conjugate to a Coxeter element of W 0. The elements with finite Coxeter part are a union of conjugacy classes of W a. We show that for each conjugacy class O of W a with finite Coxeter part there exists a unique maximal proper parabolic subgroup W J of W a, such that the set of minimal length elements in O is exactly the set of Coxeter elements in W J. Similar results hold for twisted conjugacy classes. © 2012 Elsevier Inc. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Algebra | - |
dc.subject | Affine Weyl group | - |
dc.subject | Coxeter element | - |
dc.subject | Minimal length element | - |
dc.title | Elements with finite Coxeter part in an affine Weyl group | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.jalgebra.2012.09.017 | - |
dc.identifier.scopus | eid_2-s2.0-84867473191 | - |
dc.identifier.volume | 372 | - |
dc.identifier.spage | 204 | - |
dc.identifier.epage | 210 | - |
dc.identifier.eissn | 1090-266X | - |
dc.identifier.isi | WOS:000311187200011 | - |