A combinatorial outlook on symmetric functions

DOI10.1016/0097-3165(89)90016-2zbMath0672.05004OpenAlexW2027002851MaRDI QIDQ1119581

François Bergeron

Publication date: 1989

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(89)90016-2

zbMATH Keywords

permutationsoperations on symmetric functions

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05)

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The plethystic inverse of a formal power series, Möbius polynomial species, A simplicial groupoid for plethysm, Plethysms and operads, The functorial composition of species, a forgotten operation, Counting asymmetric enriched trees, On the symmetry and asymmetry of combinatorial structures, Categorical aspects of generating functions. I: Exponential formulas and Krull-Schmidt categories, Witt vectors. Part 1, Fuzzy Symmetric Functions with Don't‐care Conditions and Applications

Cites Work

• \(\lambda\)-rings and the representation theory of the symmetric group
• Symmetric functions and P-recursiveness
• Plethysm, categories and combinatorics
• Une combinatoire du pléthysme. (Combinatorics of plethysm)
• Une théorie combinatoire des séries formelles
• The factoriality of the ring of \(S\)-species
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