کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775412 1631609 2017 42 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Character formulas and descents for the hyperoctahedral group
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Character formulas and descents for the hyperoctahedral group
چکیده انگلیسی
A general setting to study a certain type of formulas, expressing characters of the symmetric group Sn explicitly in terms of descent sets of combinatorial objects, has been developed by two of the authors. This theory is further investigated in this paper and extended to the hyperoctahedral group Bn. Key ingredients are a new formula for the irreducible characters of Bn, the signed quasisymmetric functions introduced by Poirier, and a new family of matrices of Walsh-Hadamard type. Applications include formulas for natural Bn-actions on coinvariant and exterior algebras and on the top homology of a certain poset in terms of the combinatorics of various classes of signed permutations, as well as a Bn-analogue of an equidistribution theorem of Désarménien and Wachs.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Applied Mathematics - Volume 87, June 2017, Pages 128-169
نویسندگان
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