Parabolically induced functions and equidistributed pairs

DOI10.1007/s40590-018-0214-xzbMath1440.05246arXiv1804.08192OpenAlexW2798307508WikidataQ129360758 ScholiaQ129360758MaRDI QIDQ2010826

Paolo Sentinelli

Publication date: 28 November 2019

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08192

zbMATH Keywords

Coxeter groupsmajor indexMahonian pairs

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of groups and algebras (05E16)

Related Items (1)

Odd and even major indices and one-dimensional characters for classical Weyl groups

Cites Work

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• Mahonian pairs
• Equidistribution of negative statistics and quotients of Coxeter groups of type \(B\) and \(D\)
• Permutation statistics and partitions
• Major and descent statistics for the even-signed permutation group
• Group actions on Stanley-Reisner rings and invariants of permutation groups
• On some Euler-Mahonian distributions
• Equi-distribution over descent classes of the hyperoctahedral group
• Combinatorics of Permutations
• Combinatorics of Coxeter Groups
• Major Index and Inversion Number of Permutations
• Descent representations and multivariate statistics
• Invariant algebras and major indices for classical Weyl groups
• The flag major index and group actions on polynomial rings.
• Descent numbers and major indices for the hyperoctahedral group

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