کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646945 | 1342320 | 2015 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Combinatorics of fully commutative involutions in classical Coxeter groups
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
An element of a Coxeter group WW is fully commutative if any two of its reduced decompositions are related by a series of transpositions of adjacent commuting generators. In the present work, we focus on fully commutative involutions, which are characterized in terms of Viennot’s heaps. By encoding the latter by Dyck-type lattice walks, we enumerate fully commutative involutions according to their length, for all classical finite and affine Coxeter groups. In the finite cases, we also find explicit expressions for their generating functions with respect to the major index. Finally in affine type AA, we connect our results to Fan–Green’s cell structure of the corresponding Temperley–Lieb algebra.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 338, Issue 12, 6 December 2015, Pages 2242–2259
Journal: Discrete Mathematics - Volume 338, Issue 12, 6 December 2015, Pages 2242–2259
نویسندگان
Riccardo Biagioli, Frédéric Jouhet, Philippe Nadeau,