On kernels of descent statistics

DOI10.37236/12164zbMath1543.05189MaRDI QIDQ6574375

Yan Zhuang, William Clark

Publication date: 18 July 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

permutationspermutation statisticsquasisymmetric functionsshufflesP-partitions

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Basic linear algebra (15A99)

Cites Work

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• Counting permutations by runs
• The peak algebra of the symmetric group
• Shuffle-compatible permutation statistics
• The peak algebra of the symmetric group revisited.
• On posets and Hopf algebras
• Shuffle-compatible permutation statistics. II: The exterior peak set
• Cyclic shuffle compatibility
• Combinatorial Hopf algebras and generalized Dehn–Sommerville relations
• Dual Creation Operators and a Dendriform Algebra Structure on the Quasisymmetric Functions
• An Introduction to Quasisymmetric Schur Functions
• Critical groups for Hopf algebra modules
• Ordered structures and partitions
• Enriched 𝑃-Partitions
• Cyclic quasi-symmetric functions
• Cyclic shuffle-compatibility via cyclic shuffle algebras

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