An antipode formula for the natural Hopf algebra of a set operad.
From MaRDI portal
Publication:395254
DOI10.1016/j.aam.2013.09.008zbMath1290.16036arXiv1302.0564OpenAlexW1977914856MaRDI QIDQ395254
Miguel A. Méndez, Jean Carlos Liendo
Publication date: 29 January 2014
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.0564
Related Items (4)
Combinatorial Hopf algebras from PROs ⋮ On the cancellation-free antipode formula for the Malvenuto-Reutenauer Hopf algebra ⋮ Antipodes and involutions ⋮ Combinatorial operads from monoids
Cites Work
- Unnamed Item
- Non-commutative Hopf algebra of formal diffeomorphisms.
- Homology of generalized partition posets
- The infinitesimal Hopf algebra and the poset of planar forests.
- Möbius species
- Hopf algebras, renormalization and noncommutative geometry
- Schröder parenthesizations and chordates
- Incidence Hopf algebras
- Incidence algebra antipodes and Lagrange inversion in one and several variables
- Koszul duality for monoids and the operad of enriched rooted trees
- Noncommutative symmetric functions and Lagrange inversion
- A rigidity theorem for pre-Lie algebras
- Monoidal Functors, Species and Hopf Algebras
- A general bijective algorithm for trees.
- Coalgebras and Bialgebras in Combinatorics
- Relating Two Hopf Algebras Built from An Operad
- Transitiv orientierbare Graphen
- Algebraic Operads
This page was built for publication: An antipode formula for the natural Hopf algebra of a set operad.