Signed Mahonian polynomials for major and sorting indices

Huilan Chang, Sen Peng Eu, Shishuo Fu, Zhicong Lin, Yuan Hsun Lo*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

We derive some new signed Mahonian polynomials over the complex reflection group G(r, 1 , n) = Cr≀ Sn, where the “sign” is taken to be any of the 2r 1-dim characters and the “Mahonian” statistics are the lmaj defined by Bagno and the sor defined by Eu et al. Various new signed Mahonian polynomials over Coxeter groups of types Bn and Dn are obtained as well. We also investigate the signed counting polynomials on G(r, 1, n) for those statistics with the distribution [r] q[2 r] q⋯ [nr] q.

原文英語
頁(從 - 到)201-226
頁數26
期刊Journal of Algebraic Combinatorics
53
發行號1
DOIs
出版狀態已發佈 - 2021 二月

ASJC Scopus subject areas

  • 代數與數理論
  • 離散數學和組合

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