{"f23cd11b9935b57e1537e6427907985chermann":{"DOI":"10.1016/j.jalgebra.2016.06.003","ISBN":"","ISSN":"0021-8693","URL":"","abstract":"The goal of this paper is to compute the cuspidal Calogero-Moser\n   families for all infinite families of finite Coxeter groups, at all\n   parameters. We do this by first computing the symplectic leaves of the\n   associated Calogero-Moser space and then by classifying certain\n   ``rigid'' modules. Numerical evidence suggests that there is a very\n   close relationship between Calogero-Moser families and Lusztig families.\n   Our classification shows that, additionally, the cuspidal Calogero-Moser\n   families equal cuspidal Lusztig families for the infinite families of\n   Coxeter groups. (C) 2016 Elsevier Inc. All rights reserved.","annote":"","author":[{"family":"Bellamy","given":"Gwyn"},{"family":"Thiel","given":"Ulrich"}],"citation-label":"ISI:000380382100011","collection-editor":[],"collection-title":"","container-author":[],"container-title":"JOURNAL OF ALGEBRA","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["{2016}","SEP 15"]],"literal":"{2016}"},"event-place":"525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA","id":"f23cd11b9935b57e1537e6427907985chermann","interhash":"1e2bb6cf3e8e1fec0bf054d279d08f66","intrahash":"f23cd11b9935b57e1537e6427907985c","issue":"","issued":{"date-parts":[["{2016}","SEP 15"]],"literal":"{2016}"},"keyword":"Calogero-Moser Cherednik Hecke Symplectic algebras; groups; leaves} reflection spaces; {Complex","misc":{"author-email":"{gwyn.bellamy@glasgow.ac.uk\n   thiel@mathematik.uni-stuttgart.de}","issn":"{0021-8693}","researcherid-numbers":"{Bellamy, Gwyn/C-4966-2014}","keywords-plus":"{RATIONAL CHEREDNIK ALGEBRAS; SYMPLECTIC REFLECTION ALGEBRAS; HECKE\n   ALGEBRAS; PARTITION; SUBGROUPS; SPACE; G(M; N)}","funding-acknowledgement":"{DFG Schwerpunktprogramm {[}1489]}","research-areas":"{Mathematics}","orcid-numbers":"{Bellamy, Gwyn/0000-0002-7045-4177}","eissn":"{1090-266X}","number-of-cited-references":"{43}","affiliation":"{Thiel, U (Reprint Author), Univ Stuttgart, Fachbereich Math, Inst Algebra \\& Zahlentheorie, Lehrstuhl Algebra, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.\n   Bellamy, Gwyn, Univ Glasgow, Sch Math \\& Stat, Glasgow G12 8QW, Lanark, Scotland.\n   Thiel, Ulrich, Univ Stuttgart, Fachbereich Math, Inst Algebra \\& Zahlentheorie, Lehrstuhl Algebra, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}","web-of-science-categories":"{Mathematics}","funding-text":"{The authors would like to thank Cedric Bonnafe and Meinolf Geck for many\n   fruitful discussions. We also thank Dan Ciubotaru for informing us about\n   his preprint {[}14] and his result that for E<INF>7<\/INF> the cuspidal\n   Lusztig family does not contain rigid modules. Moreover, we would like\n   to thank Gunter Malle for commenting on a preliminary version of this\n   article. The second author was partially supported by the DFG\n   Schwerpunktprogramm 1489.}","language":"{English}","times-cited":"{0}","doi":"{10.1016/j.jalgebra.2016.06.003}"},"note":"","number":"","number-of-pages":"55","page":"197-252","page-first":"197","publisher":"ACADEMIC PRESS INC ELSEVIER SCIENCE","publisher-place":"525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA","status":"","title":"Cuspidal Calogero-Moser and Lusztig families for Coxeter groups","type":"article-journal","username":"hermann","version":"","volume":"462"}}