An inversion statistic on the generalized symmetric groups

DOI10.1016/j.aam.2023.102655zbMath1530.20046arXiv2211.13961OpenAlexW4390121535MaRDI QIDQ6138053

Mariam Zaarour, Alnour Altoum, Hasan Arslan

Publication date: 16 January 2024

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.13961

zbMATH Keywords

root systeminversion numbermajor indexcomplex reflection grouppermutation statistic

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Symmetric groups (20B30)

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• Finite complex reflection groups
• On the Netto Inversion Number of a Sequence
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