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Article: From conjugacy classes in the weyl group to semisimple conjugacy classes

TitleFrom conjugacy classes in the weyl group to semisimple conjugacy classes
Authors
Adams, JeffreyHe, XuhuaNie, Sian
KeywordsAlgebraic groups
Elliptic conjugacy classes
Semisimple conjugacy classes
Weyl groups
Issue Date2021
Citation
Pure and Applied Mathematics Quarterly, 2021, v. 17, n. 4, p. 1159-1189 How to Cite?
DOI: http://dx.doi.org/10.4310/PAMQ.2021.v17.n4.a1
AbstractSuppose 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 Identifierhttp://hdl.handle.net/10722/329763
ISSN
1558-8599
2023 Impact Factor: 0.5
2023 SCImago Journal Rankings: 0.775

 

DC FieldValueLanguage
dc.contributor.authorAdams, Jeffrey-
dc.contributor.authorHe, Xuhua-
dc.contributor.authorNie, Sian-
dc.date.accessioned2023-08-09T03:35:09Z-
dc.date.available2023-08-09T03:35:09Z-
dc.date.issued2021-
dc.identifier.citationPure and Applied Mathematics Quarterly, 2021, v. 17, n. 4, p. 1159-1189-
dc.identifier.issn1558-8599-
dc.identifier.urihttp://hdl.handle.net/10722/329763-
dc.description.abstractSuppose 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.languageeng-
dc.relation.ispartofPure and Applied Mathematics Quarterly-
dc.subjectAlgebraic groups-
dc.subjectElliptic conjugacy classes-
dc.subjectSemisimple conjugacy classes-
dc.subjectWeyl groups-
dc.titleFrom conjugacy classes in the weyl group to semisimple conjugacy classes-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.4310/PAMQ.2021.v17.n4.a1-
dc.identifier.scopuseid_2-s2.0-85121856337-
dc.identifier.volume17-
dc.identifier.issue4-
dc.identifier.spage1159-
dc.identifier.epage1189-
dc.identifier.eissn1558-8602-

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