Hopf algebras of set systems

DOI10.1016/S0012-365X(97)00119-2zbMath0895.05068MaRDI QIDQ1381829

Cristian Lenart, Nigel Ray

Publication date: 2 June 1998

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

zbMATH Keywords

Hopf algebrassymmetric functionumbral calculusgroup of automorphismsformal group lawsfinite set systemsumbral chromatic polynomialRoman-Rota umbral calculus

Mathematics Subject Classification ID

Umbral calculus (05A40) Algebraic combinatorics (05E99)

Related Items

Symmetric functions, formal group laws, and Lazard's theorem

Cites Work

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• Extensions of umbral calculus: Penumbral coalgebras and generalized Bernoulli numbers
• The partition polynomial of a finite set system
• Symmetric functions, formal group laws, and Lazard's theorem
• Incidence Hopf algebras
• Chromatic polynomials of partition systems
• A symmetric function generalization of the chromatic polynomial of a graph
• Some properties of Hurwitz series
• Hopf algebras and combinatorics
• Tutte Algebras of Graphs and Formal Group Theory