Lagrange's Theorem for Hopf Monoids in Species

DOI10.4153/CJM-2011-098-9zbMath1262.05004arXiv1105.5572OpenAlexW3100102895MaRDI QIDQ4915599

Aaron Lauve, Marcelo Aguiar

Publication date: 11 April 2013

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5572

zbMATH Keywords

partitioncompositionspeciesLagrange's theoremgenerating seriesgraded Hopf algebraslinear orderderangementprimitive elementcyclic orderPoincaré-Birkhoff-Witt theoremHopf monoidsHopf kernelLie kernel

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Algebraic combinatorics (05E99) Combinatorial inequalities (05A20) Smash products of general Hopf actions (16S40) Symmetric monoidal categories (19D23) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30) Basic hypergeometric functions (33Dxx) Hypergeometric functions (33Cxx)

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