کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5777345 1632750 2018 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Outside nested decompositions of skew diagrams and Schur function determinants
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Outside nested decompositions of skew diagrams and Schur function determinants
چکیده انگلیسی
We describe the thickened strips and introduce the outside nested decompositions of any skew shape λ∕μ. For any such decomposition Φ=(Θ1,Θ2,…,Θg) of the skew shape λ∕μ where Θi is a thickened strip for every i, let r be the number of boxes that are contained in any two distinct thickened strips of Φ. Then we establish a determinantal formula of the function p1r(X)sλ∕μ(X) with the Schur functions of thickened strips as entries, where sλ∕μ(X) is the Schur function of the skew shape λ∕μ and p1r(X) is the power sum symmetric function indexed by the partition (1r). This generalizes Hamel and Goulden's theorem on the outside decompositions of the skew shape λ∕μ and our extension is motivated by the enumeration of m-strip tableaux, which was first counted by Baryshnikov and Romik via extending the transfer operator approach due to Elkies.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Combinatorics - Volume 67, January 2018, Pages 239-267
نویسندگان
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