Sign balances and promotion order of Young-Fibonacci tableaux

Zhanggui Wu; Yen Jen Cheng; Sen Peng Eu; Jyun Cheng Yao

doi:10.1016/j.disc.2023.113751

Sign balances and promotion order of Young-Fibonacci tableaux

Zhanggui Wu^*
, Yen Jen Cheng
, Sen Peng Eu
, Jyun Cheng Yao

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

In this paper we give two results on Young Fibonacci tableaux. First we establish identities about the sign balances of Young Fibonacci tableaux, analog to known results on standard Young tableaux. Then we investigate the promotion action on a Young Fibonacci tableau and determine the order of the action. In contrast with the fact that there is no general formula of the promotion order for a standard Young tableau, here we can determine the order completely.

原文	英語
文章編號	113751
期刊	Discrete Mathematics
卷	347
發行號	2
DOIs	https://doi.org/10.1016/j.disc.2023.113751
出版狀態	已發佈 - 2024 2月

ASJC Scopus subject areas

理論電腦科學
離散數學和組合

存取文件

10.1016/j.disc.2023.113751

其它文件與鏈接

引用此

@article{6d8adb9af82a4e5fa794e8fe5a6187a2,

title = "Sign balances and promotion order of Young-Fibonacci tableaux",

abstract = "In this paper we give two results on Young Fibonacci tableaux. First we establish identities about the sign balances of Young Fibonacci tableaux, analog to known results on standard Young tableaux. Then we investigate the promotion action on a Young Fibonacci tableau and determine the order of the action. In contrast with the fact that there is no general formula of the promotion order for a standard Young tableau, here we can determine the order completely.",

keywords = "Promotion, Sign balance, Young-Fibonacci tableaux",

author = "Zhanggui Wu and Cheng, \{Yen Jen\} and Eu, \{Sen Peng\} and Yao, \{Jyun Cheng\}",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier B.V.",

year = "2024",

month = feb,

doi = "10.1016/j.disc.2023.113751",

language = "English",

volume = "347",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier BV",

number = "2",

}

TY - JOUR

T1 - Sign balances and promotion order of Young-Fibonacci tableaux

AU - Wu, Zhanggui

AU - Cheng, Yen Jen

AU - Eu, Sen Peng

AU - Yao, Jyun Cheng

PY - 2024/2

Y1 - 2024/2

N2 - In this paper we give two results on Young Fibonacci tableaux. First we establish identities about the sign balances of Young Fibonacci tableaux, analog to known results on standard Young tableaux. Then we investigate the promotion action on a Young Fibonacci tableau and determine the order of the action. In contrast with the fact that there is no general formula of the promotion order for a standard Young tableau, here we can determine the order completely.

AB - In this paper we give two results on Young Fibonacci tableaux. First we establish identities about the sign balances of Young Fibonacci tableaux, analog to known results on standard Young tableaux. Then we investigate the promotion action on a Young Fibonacci tableau and determine the order of the action. In contrast with the fact that there is no general formula of the promotion order for a standard Young tableau, here we can determine the order completely.

KW - Promotion

KW - Sign balance

KW - Young-Fibonacci tableaux

UR - https://www.scopus.com/pages/publications/85174335644

UR - https://www.scopus.com/pages/publications/85174335644#tab=citedBy

U2 - 10.1016/j.disc.2023.113751

DO - 10.1016/j.disc.2023.113751

M3 - Article

AN - SCOPUS:85174335644

SN - 0012-365X

VL - 347

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 2

M1 - 113751

ER -

Sign balances and promotion order of Young-Fibonacci tableaux

摘要

ASJC Scopus subject areas

存取文件

其它文件與鏈接

指紋

引用此