Antipodes of monoidal decomposition spaces

DOI10.1142/S0219199718500815zbMath1454.18013arXiv1807.11858MaRDI QIDQ5109823

Joachim Kock, Louis Carlier

Publication date: 13 May 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11858

zbMATH Keywords

antipodeincidence algebradecomposition spacebialgebra2-Segal space

Mathematics Subject Classification ID

Bialgebras (16T10) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30) Simplicial sets, simplicial objects (18N50) Generalizations of ordered sets (06A75) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (1)

The incidence comodule bialgebra of the Baez-Dolan construction

Cites Work

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• From Möbius inversion to renormalisation
• Groupoids and Faà di Bruno formulae for Green functions in bialgebras of trees.
• Coalgebras and Bialgebras in Combinatorics
• Homotopy linear algebra
• Faà di Bruno for operads and internal algebras
• Higher Segal Spaces
• Hopf Monoids and Generalized Permutahedra

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