کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9497121 | 1630752 | 2005 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On relations between the classical and the Kazhdan-Lusztig representations of symmetric groups and associated Hecke algebras
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let H be the Hecke algebra of a Coxeter system (W,S), where W is a Weyl group of type An, over the ring of scalars A=Z[q1/2,q-1/2], where q is an indeterminate. We show that the Specht module Sλ, as defined by Dipper and James [Proc. London Math. Soc. 52(3) (1986) 20-52], is naturally isomorphic over A to the cell module of Kazhdan and Lusztig [Invent. Math. 53 (1979) 165-184] associated with the cell containing the longest element of a parabolic subgroup WJ for appropriate JâS. We give the association between J and λ explicitly. We introduce notions of the T-basis and C-basis of the Specht module and show that these bases are related by an invertible triangular matrix over A. We point out the connection with the work of Garsia and McLarnan [Adv. Math. 69 (1988) 32-92] concerning the corresponding representations of the symmetric group.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 203, Issues 1â3, 1 December 2005, Pages 133-144
Journal: Journal of Pure and Applied Algebra - Volume 203, Issues 1â3, 1 December 2005, Pages 133-144
نویسندگان
T.P. McDonough, C.A. Pallikaros,