Fixed points of the evacuation of maximal chains on Fuss shapes
學年 106
學期 2
出版（發表）日期 2018-02-28
作品名稱 Fixed points of the evacuation of maximal chains on Fuss shapes
作品名稱（其他語言）
著者 Sen-Peng Eu; Tung-Shan Fu; Hsiang-Chun Hsu; Yu-Pei Huang
單位
出版者
著錄名稱、卷期、頁數 The Electronic Journal of Combinatorics 25(1), p1-33
摘要 For a partition λ of an integer, we associate λ with a slender poset P the Hasse diagram of which resembles the Ferrers diagram of λ. Let X be the set of maximal chains of P. We consider Stanley's involution ϵ:X→X, which is extended from Schützenberger's evacuation on linear extensions of a finite poset. We present an explicit characterization of the fixed points of the map ϵ:X→X when λ is a stretched staircase or a rectangular shape. Unexpectedly, the fixed points have a nice structure, i.e., a fixed point can be decomposed in half into two chains such that the first half and the second half are the evacuation of each other. As a consequence, we prove anew Stembridge's q=−1phenomenon for the maximal chains of P under the involution ϵ for the restricted shapes.
關鍵字 Evacuation;Stembridge's q=-1 phenomenon;Fixed point;Partition
語言 en_US
ISSN
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度 是
國別 TWN
公開徵稿
出版型式 ,電子版
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