Möbius species

DOI10.1016/0001-8708(91)90051-8zbMath0752.05060OpenAlexW4210678655MaRDI QIDQ1174751

S. Singh

Publication date: 25 June 1992

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(91)90051-8

zbMATH Keywords

Möbius functionposetgenerating functionfunctorMöbius speciesHurwitz seriesJoyal species\(c\)-monoid

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Algebraic combinatorics (05E99) Special categories (18B99)

Related Items

Operads from posets and Koszul duality, Pluriassociative algebras. I: The pluriassociative operad., On the free Lie algebra with multiple brackets, The plethystic inverse of a formal power series, Enriched pre-Lie operads and freeness theorems, Möbius polynomial species, Monops, monoids and operads: the combinatorics of Sheffer polynomials, An antipode formula for the natural Hopf algebra of a set operad., The colored symmetric and exterior algebras, Strong forms of linearization for Hopf monoids in species, Counting asymmetric enriched trees, Colored species, \(c\)-monoids, and plethysm. I, Categorical aspects of generating functions. I: Exponential formulas and Krull-Schmidt categories, Combinatorial operads from monoids, Koszul duality for monoids and the operad of enriched rooted trees, A set-theoretic interpretation of the umbral calculus, Strong forms of self-duality for Hopf monoids in species, Cubical species and nonassociative algebras, The theory of compositionals, An algebra over the operad of posets and structural binomial identities, Compositional calculus

Cites Work

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• Plethysm, categories and combinatorics
• On the combinatorics of plethysm
• From sets to functions: Three elementary examples
• Une théorie combinatoire des séries formelles
• A note on Abel polynomials and rooted labeled forests
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• Lagrange inversion in higher dimensions and umbral operators
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]