کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9493429 1334241 2005 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Families of the characters of the cyclotomic Hecke algebras of G(de,e,r)
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Families of the characters of the cyclotomic Hecke algebras of G(de,e,r)
چکیده انگلیسی
Motivated by the work of Lusztig on the families of Irr(W) for the Weyl group W of any type, especially for the types Br and Dr, we described in the article [M. Broué and S. Kim, Familles de caractères des algèbres de Hecke cyclotomiques, Adv. Math. 172 (2002) 53-136] the families of the characters of G(e,1,r) and G(e,e,r), which are the blocks of the cyclotomic Hecke algebras over an appropriate ring called “Rouquier ring.” The results coincide with the results of Lusztig on the Weyl groups of types Br and Dr when specializing the parameters of the Hecke algebras. In this paper, generalizing this work to the whole series of G(de,e,r) which is a normal subgroup of G(de,1,r) of index e, we extend the results of Broué and Kim, op. cit.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 289, Issue 2, 15 July 2005, Pages 346-364
نویسندگان
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