Free and cofree Hopf algebras.

DOI10.1016/j.jpaa.2011.07.010zbMath1241.16021arXiv1010.5402OpenAlexW2096591877MaRDI QIDQ659886

Loïc Foissy

Publication date: 24 January 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5402

zbMATH Keywords

free Hopf algebrascofree Hopf algebrasgraded connected Hopf algebrasLie algebras of primitive elements

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Free nonassociative algebras (17A50) Hopf algebras and their applications (16T05)

Related Items

Pattern Hopf algebras, A Faà di Bruno subalgebra of the graded dual of word symmetric functions, Plane posets, special posets, and permutations, Sequences of trees and higher-order renormalization group equations, Algebraic structures on double and plane posets, Hopf algebras of \(m\)-permutations, \((m + 1)\)-ary trees, and \(m\)-parking functions, Hopf algebras of parking functions and decorated planar trees

Uses Software

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Cites Work

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