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Article: From conjugacy classes in the weyl group to semisimple conjugacy classes
Title | From conjugacy classes in the weyl group to semisimple conjugacy classes |
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Authors | |
Keywords | Algebraic groups Elliptic conjugacy classes Semisimple conjugacy classes Weyl groups |
Issue Date | 2021 |
Citation | Pure and Applied Mathematics Quarterly, 2021, v. 17, n. 4, p. 1159-1189 How to Cite? |
Abstract | Suppose G is a connected complex semisimple group and W is its Weyl group. The lifting of an element of W to G is semisimple. This induces a well-defined map from the set of elliptic conjugacy classes of W to the set of semisimple conjugacy classes of G. In this paper, we give a uniform algorithm to compute this map. We also consider the twisted case. |
Persistent Identifier | http://hdl.handle.net/10722/329763 |
ISSN | 2023 Impact Factor: 0.5 2023 SCImago Journal Rankings: 0.775 |
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 | 2023-08-09T03:35:09Z | - |
dc.date.available | 2023-08-09T03:35:09Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Pure and Applied Mathematics Quarterly, 2021, v. 17, n. 4, p. 1159-1189 | - |
dc.identifier.issn | 1558-8599 | - |
dc.identifier.uri | http://hdl.handle.net/10722/329763 | - |
dc.description.abstract | Suppose G is a connected complex semisimple group and W is its Weyl group. The lifting of an element of W to G is semisimple. This induces a well-defined map from the set of elliptic conjugacy classes of W to the set of semisimple conjugacy classes of G. In this paper, we give a uniform algorithm to compute this map. We also consider the twisted case. | - |
dc.language | eng | - |
dc.relation.ispartof | Pure and Applied Mathematics Quarterly | - |
dc.subject | Algebraic groups | - |
dc.subject | Elliptic conjugacy classes | - |
dc.subject | Semisimple conjugacy classes | - |
dc.subject | Weyl groups | - |
dc.title | From conjugacy classes in the weyl group to semisimple conjugacy classes | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.4310/PAMQ.2021.v17.n4.a1 | - |
dc.identifier.scopus | eid_2-s2.0-85121856337 | - |
dc.identifier.volume | 17 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 1159 | - |
dc.identifier.epage | 1189 | - |
dc.identifier.eissn | 1558-8602 | - |