Sign imbalances of snakes and valley-signed permutations

Huilan Chang, Sen-Peng Eu, 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

One of the combinatorial structures counted by the Springer numbers is the set of snakes, which in type An is the set of the alternating permutations and in type Bn (or Dn) is the set of certain signed permutations. The set of valley-signed permutations, defined by Josuat-Vergès, Novelli and Thibon, is another structure counted by the Springer numbers of type Bn (or Dn). In this paper we determine the sign imbalances of these sets of snakes and valley-signed permutations under various inversion statistics invw, inv o, invs, invB, and invD.

原文英語
頁(從 - 到)26-47
頁數22
期刊Advances in Applied Mathematics
59
DOIs
出版狀態已發佈 - 2014 八月

ASJC Scopus subject areas

  • 應用數學

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