On Schur expansions of Petrie Symmetric functions multiplied by a power symmetric function

dc.contributor	游森棚	zh_TW
dc.contributor	Eu, Sen-Peng	en_US
dc.contributor.author	周孟謙	zh_TW
dc.contributor.author	Chou, Meng-Chien	en_US
dc.date.accessioned	2023-12-08T07:55:57Z
dc.date.available	2022-07-01
dc.date.available	2023-12-08T07:55:57Z
dc.date.issued	2022
dc.description.abstract	在 [2] 中，Darij Grinberg 證明了 Petrie symmetric function 是 signed multiplicity-free ，並使用代數的方法證明 Liu–Polo conjecture。本文章的主要結果是我們找到了組合的方法計算 k-Petrie number，因此我們可以知道 Petrie symmetric function 可以寫成那些 Schur functions 的線性組合。由這個組合解釋，Liu–Polo conjecture 有了簡單的證明；我們也用這個組合解釋證明並推廣了 Alexandersson conjecture。	zh_TW
dc.description.abstract	none	en_US
dc.description.sponsorship	數學系	zh_TW
dc.identifier	60940001S-41434
dc.identifier.uri	https://etds.lib.ntnu.edu.tw/thesis/detail/aa925ab582f936a294e03c1156f0f129/
dc.identifier.uri	http://rportal.lib.ntnu.edu.tw/handle/20.500.12235/121094
dc.language	中文
dc.subject	none	zh_TW
dc.subject	symmetric functions	en_US
dc.subject	Schur functions	en_US
dc.subject	Petrie symmetric function	en_US
dc.title	On Schur expansions of Petrie Symmetric functions multiplied by a power symmetric function	zh_TW
dc.title	On Schur expansions of Petrie Symmetric functions multiplied by a power symmetric function	en_US
dc.type	etd

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