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Article: On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups
| Title | On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups | ||||||
|---|---|---|---|---|---|---|---|
| Authors | |||||||
| Keywords | Mathematics | ||||||
| Issue Date | 2011 | ||||||
| Publisher | Springer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00209/index.htm | ||||||
| Citation | Mathematische Zeitschrift, 2011, v. 269 n. 3-4, p. 1181-1188 How to Cite? | ||||||
| Abstract | Let G be a connected semisimple algebraic group over an algebraically closed field of characteristic zero, and let θ be an automorphism of G. We give a characterization of spherical θ-twisted conjugacy classes in G by a formula for their dimensions in terms of certain elements in the Weyl group of G, generalizing a result of N. Cantarini, G. Carnovale, and M. Costantini when θ is the identity automorphism. For G simple and θ an outer automorphism of G, we also classify the Weyl group elements that appear in the dimension formula. © 2010 The Author(s). | ||||||
| Persistent Identifier | http://hdl.handle.net/10722/135154 | ||||||
| ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 1.097 | ||||||
| ISI Accession Number ID |
Funding Information: The author would like to thank G. Carnovale, K. Y. Chan and G. Lusztig for discussions. The author is especially grateful to G. Carnovale and M. Costantini for pointing out some of the results in [6]. She would also like to thank the referee for very helpful comments. Research in this paper was partially supported by HKRGC grants 703405 and 703707 and by the Seed Fund for Basic Research from the HKU (Project code 10400942). | ||||||
| References |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Lu, JH | en_HK |
| dc.date.accessioned | 2011-07-27T01:29:08Z | - |
| dc.date.available | 2011-07-27T01:29:08Z | - |
| dc.date.issued | 2011 | en_HK |
| dc.identifier.citation | Mathematische Zeitschrift, 2011, v. 269 n. 3-4, p. 1181-1188 | en_HK |
| dc.identifier.issn | 0025-5874 | en_HK |
| dc.identifier.uri | http://hdl.handle.net/10722/135154 | - |
| dc.description.abstract | Let G be a connected semisimple algebraic group over an algebraically closed field of characteristic zero, and let θ be an automorphism of G. We give a characterization of spherical θ-twisted conjugacy classes in G by a formula for their dimensions in terms of certain elements in the Weyl group of G, generalizing a result of N. Cantarini, G. Carnovale, and M. Costantini when θ is the identity automorphism. For G simple and θ an outer automorphism of G, we also classify the Weyl group elements that appear in the dimension formula. © 2010 The Author(s). | en_HK |
| dc.language | eng | en_US |
| dc.publisher | Springer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00209/index.htm | en_HK |
| dc.relation.ispartof | Mathematische Zeitschrift | en_HK |
| dc.rights | The Author(s) | en_US |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups | en_HK |
| dc.type | Article | en_HK |
| dc.identifier.openurl | http://library.hku.hk:4551/resserv?sid=springerlink&genre=article&atitle=On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups&title=Mathematische Zeitschrift&issn=00255874&date=2011-12-01&volume=269&issue=3& spage=1181&authors=Jiang-Hua Lu | en_US |
| dc.identifier.email | Lu, JH:jhluhku@hku.hk | en_HK |
| dc.identifier.authority | Lu, JH=rp00753 | en_HK |
| dc.description.nature | published_or_final_version | en_US |
| dc.identifier.doi | 10.1007/s00209-010-0776-4 | en_HK |
| dc.identifier.scopus | eid_2-s2.0-81555214730 | en_HK |
| dc.identifier.hkuros | 211932 | en_US |
| dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-81555214730&selection=ref&src=s&origin=recordpage | en_HK |
| dc.identifier.volume | 269 | en_HK |
| dc.identifier.issue | 3-4 | en_HK |
| dc.identifier.spage | 1181 | en_HK |
| dc.identifier.epage | 1188 | en_HK |
| dc.identifier.eissn | 1432-1823 | en_US |
| dc.identifier.isi | WOS:000297355500029 | - |
| dc.publisher.place | Germany | en_HK |
| dc.description.other | Springer Open Choice, 21 Feb 2012 | en_US |
| dc.identifier.scopusauthorid | Lu, JH=35790078400 | en_HK |
| dc.identifier.citeulike | 7964278 | - |
| dc.identifier.issnl | 0025-5874 | - |