Finite dimensional comodules over the Hopf algebra of rooted trees

DOI10.1016/S0021-8693(02)00110-2zbMath1017.16031arXivmath/0105210MaRDI QIDQ1858179

Loïc Foissy

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105210

zbMATH Keywords

endomorphismsprimitive elementsHopf algebra of rooted treesfinite-dimensional comodulesLie algebra of rooted trees

Mathematics Subject Classification ID

Trees (05C05)

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Cites Work

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• On the Hopf algebra strucutre of perturbative quantum field theories
• Hopf algebras, cyclic cohomology and the transverse index theorem
• Renormalization automated by Hopf algebra
• Relating the Connes-Kreimer and Grossman-Larson Hopf algebras built on rooted trees
• Combinatorics of (perturbative) quantum field theory
• On overlapping divergences
• Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees