Homomorphisms on noncommutative symmetric functions and permutation enumeration

zbMath1435.05207MaRDI QIDQ2306530

Yan Zhuang, Ira M. Gessel

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2019//6.html

zbMATH Keywords

permutation statisticsdescentsnoncommutative symmetric functionspeaksinversionsshuffle-compatibility

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05)

Cites Work

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• Counting permutations by runs
• Counting permutations by alternating descents
• Longest alternating subsequences of permutations
• Enriched \(P\)-partitions and peak algebras
• Variations on descents and inversions in permutations
• Binomial posets, Möbius inversion, and permutation enumeration
• Consecutive patterns in permutations
• Shuffle-compatible permutation statistics
• Noncommutative symmetric functions
• Generating functions for alternating descents and alternating major index
• Two-Sided Eulerian Numbers via Balls in Boxes
• A survey of consecutive patterns in permutations
• Permutations and sequences with repetitions by number of increases
• Reciprocals of exponential polynomials and permutation enumeration
• Permutations with prescribed pattern
• Enriched 𝑃-Partitions

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