關鍵字查詢 | 類別:期刊論文 | | 關鍵字:Fixed points of the evacuation of maximal chains on Fuss shapes

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序號 學年期 教師動態
1 106/2 數學系 徐祥峻 助理教授 期刊論文 發佈 Fixed points of the evacuation of maximal chains on Fuss shapes , [106-2] :Fixed points of the evacuation of maximal chains on Fuss shapes期刊論文Fixed points of the evacuation of maximal chains on Fuss shapesSen-Peng Eu; Tung-Shan Fu; Hsiang-Chun Hsu; Yu-Pei HuangEvacuation;Stembridge's q=-1 phenomenon;Fixed point;PartitionThe Electronic Journal of Combinatorics 25(1), p1-33For 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 t
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