Signed Mahonian on parabolic quotients of colored permutation groups

Sen Peng Eu, Tung Shan Fu, 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

摘要

We study the generating polynomial of the flag major index with each one-dimensional character, called signed Mahonian polynomial, over the colored permutation group, the wreath product of a cyclic group with the symmetric group. Using the insertion lemma of Han and Haglund–Loehr–Remmel and a signed extension established by Eu et al., we derive the signed Mahonian polynomial over the quotients of parabolic subgroups of the colored permutation group, for a variety of systems of coset representatives in terms of subsequence restrictions. This generalizes the related work over parabolic quotients of the symmetric group due to Caselli as well as to Eu et al. As a byproduct, we derive a product formula that generalizes Biagioli's result about the signed Mahonian on the even signed permutation groups.

原文英語
文章編號102269
期刊Advances in Applied Mathematics
132
DOIs
出版狀態已發佈 - 2022 一月

ASJC Scopus subject areas

  • 應用數學

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