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Hecke Algebras of Type B n at Roots of Unity

1995; Wiley; Volume: s3-70; Issue: 3 Linguagem: Inglês

10.1112/plms/s3-70.3.505

1460-244X

Richard Dipper, Gordon James, Eugene Murphy,

Advanced Algebra and Geometry

Proceedings of the London Mathematical SocietyVolume s3-70, Issue 3 p. 505-528 Articles Hecke Algebras of Type Bn at Roots of Unity Richard Dipper, Richard Dipper Mathematisches Institut B, Universität Stuttgart, Postfach 801140, 70550 Stuttgart, GermanySearch for more papers by this authorGordon James, Gordon James Department of Mathematics, Imperial College, Huxley Building, 180 Queen's Gate, London, SW7 2BZSearch for more papers by this authorEugene Murphy, Eugene Murphy Department of Mathematical and Physical Sciences, University of East London, Romford Road, London, E15 4LZSearch for more papers by this author Richard Dipper, Richard Dipper Mathematisches Institut B, Universität Stuttgart, Postfach 801140, 70550 Stuttgart, GermanySearch for more papers by this authorGordon James, Gordon James Department of Mathematics, Imperial College, Huxley Building, 180 Queen's Gate, London, SW7 2BZSearch for more papers by this authorEugene Murphy, Eugene Murphy Department of Mathematical and Physical Sciences, University of East London, Romford Road, London, E15 4LZSearch for more papers by this author First published: May 1995 https://doi.org/10.1112/plms/s3-70.3.505Citations: 57AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract The simple modules for Hecke algebras of type Bn were constructed, under certain restrictions on the characteristic of the field, in [7]. Using new ideas, introduced by the third-named author for Hecke algebras of type An [13], we now remove these restrictions on the characteristic. We present a collection of modules, of which the non-zero ones form a complete set of pairwise non-isomorphic simple modules. In addition, we formulate a conjecture as to which of the modules are non-zero. Citing Literature Volumes3-70, Issue3May 1995Pages 505-528 RelatedInformation