The enriched \(q\)-monomial basis of the quasisymmetric functions

DOI10.37236/12409MaRDI QIDQ6635175

Darij Grinberg, Ekaterina A. Vassilieva

Publication date: 9 November 2024

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

zbMATH Keywords

enriched \(q\)-monomial quasisymmetric functionsmonomial peak functionsstufufuffle product

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Symmetric functions and generalizations (05E05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• Binary shuffle bases for quasi-symmetric functions
• Shifted quasi-symmetric functions and the Hopf algebra of peak functions
• Noncommutative Pieri operators on posets
• Shuffle-compatible permutation statistics
• Noncommutative symmetric functions
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• Quasisymmetric functions and the Chow ring of the stack of expanded pairs
• The mechanics of shuffle products and their siblings
• Iterated integrals on \(\mathbb{P}^1 \setminus \{0, 1, \infty, z \}\) and a class of relations among multiple zeta values
• Weighted posets and the enriched monomial basis of QSym
• Representation Theory of Symmetric Groups
• Combinatorial Hopf algebras and generalized Dehn–Sommerville relations
• QUASI-SYMMETRIC FUNCTIONS AND MOD <b><i>p </i></b>MULTIPLE HARMONIC SUMS
• Critical groups for Hopf algebra modules
• Enriched 𝑃-Partitions
• Double posets and the antipode of QSym
• Enumerative Combinatorics
• A \(q\)-deformation of enriched \(P\)-partitions

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