کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4655387 1632947 2014 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cyclic sieving of increasing tableaux and small Schröder paths
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Cyclic sieving of increasing tableaux and small Schröder paths
چکیده انگلیسی

An increasing tableau is a semistandard tableau with strictly increasing rows and columns. It is well known that the Catalan numbers enumerate both rectangular standard Young tableaux of two rows and also Dyck paths. We generalize this to a bijection between rectangular 2-row increasing tableaux and small Schröder paths. We demonstrate relations between the jeu de taquin for increasing tableaux developed by H. Thomas and A. Yong and the combinatorics of tropical frieze patterns. We then use this jeu de taquin to present new instances of the cyclic sieving phenomenon of V. Reiner, D. Stanton, and D. White, generalizing results of D. White and of J. Stembridge.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 125, July 2014, Pages 357–378
نویسندگان
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