کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4655401 1632951 2013 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Ad-nilpotent ideals and the Shi arrangement
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Ad-nilpotent ideals and the Shi arrangement
چکیده انگلیسی
We extend the Shi bijection from the Borel subalgebra case to parabolic subalgebras. In the process, the I-deleted Shi arrangement Shi(I) naturally emerges. This arrangement interpolates between the Coxeter arrangement Cox and the Shi arrangement Shi, and breaks the symmetry of Shi in a certain symmetrical way. Among other things, we determine the characteristic polynomial χ(Shi(I),t) of Shi(I) explicitly for An−1 and Cn. More generally, let Shi(G) be an arbitrary arrangement between Cox and Shi. Armstrong and Rhoades recently gave a formula for χ(Shi(G),t) for An−1. Inspired by their result, we obtain formulae for χ(Shi(G),t) for Bn, Cn and Dn.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 120, Issue 8, November 2013, Pages 2118-2136
نویسندگان
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