An introduction to Hopf algebras of trees (original) (raw)

Relating the Connes–Kreimer and Grossman–Larson Hopf algebras built on rooted trees

F. Panaite

Letters in Mathematical Physics, 2000

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Combinatorics of rooted trees and Hopf algebras

M. Hoffman

2003

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QED Hopf algebras on planar binary trees

Alessandra Frabetti

Journal of Algebra, 2003

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Structure of the Loday–Ronco Hopf algebra of trees

Marcelo Aguiar

Journal of Algebra, 2006

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Finite dimensional comodules over the Hopf algebra of rooted trees

Loic Foissy

Journal of Algebra, 2002

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(Non) commutative Hopf algebras of trees and (quasi) symmetric functions

M. Hoffman

2007

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Classification of systems of Dyson–Schwinger equations in the Hopf algebra of decorated rooted trees

Loic Foissy

Advances in Mathematics, 2010

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Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson–Schwinger equations

Loic Foissy

Advances in Mathematics, 2008

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O ct 2 01 5 HOPF ALGEBRAS AND TOPOLOGICAL RECURSION

João N . Esteves

2021

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Algebraic Structures on Typed Decorated Rooted Trees

Loic Foissy

Symmetry, Integrability and Geometry: Methods and Applications, 2021

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Combinatorial Hopf algebras from renormalization

C. Brouder

2010

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The dual of infinitesimal unitary Hopf algebras and planar rooted forests

Loic Foissy

International Electronic Journal of Algebra

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Renormalization Hopf algebras and combinatorial groups

Alessandra Frabetti

Geometric and Topological Methods for Quantum Field Theory

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ON THE ANTIPODE OF KREIMER'S HOPF ALGEBRA

Hector Figueroa

Modern Physics Letters A, 2001

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Rooted Trees and Symmetric Functions: Zhao's Homomorphism and the Commutative Hexagon

Michael Hoffman

arXiv: Quantum Algebra, 2008

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The Infinitesimal Hopf Algebra and the Operads of Planar Forests

Loic Foissy

International Mathematics Research Notices, 2009

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A noncommutative symmetric system over the Grossman-Larson Hopf algebra of labeled rooted trees

Wenhua Zhao

Journal of Algebraic Combinatorics, 2008

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The infinitesimal Hopf algebra and the poset of planar forests

Loic Foissy

Journal of Algebraic Combinatorics, 2008

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Cocommutative Hopf Algebras of Permutations and Trees

Marcelo Aguiar

Journal of Algebraic Combinatorics, 2005

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Hopf Algebra of the Planar Binary Trees

Maria Ronco

Advances in Mathematics, 1998

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COMBINATORIAL HOPF ALGEBRAS IN QUANTUM FIELD THEORY I

Hector Figueroa

Reviews in Mathematical Physics, 2005

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2 Combinatorial Hopf algebras from dual Hopf algebras 2 . 1 Right-sided combinatorial Hopf algebras

Alessandra Frabetti

2009

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Renormalization in Quantum Field Theory and the Riemann-Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem

Alain Connes

Communications in Mathematical Physics, 2000

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Hopf algebras on planar trees and permutations

Sebastián Márquez

Journal of Algebra and Its Applications, 2021

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Hopf algebra and renormalization: A brief review

Usman Naseer

2015

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Polynomial realizations of some combinatorial Hopf algebras

Loic Foissy

Journal of Noncommutative Geometry, 2014

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A combinatorial non-commutative Hopf algebra of graphs

Loic Foissy

Discrete Mathematics & Theoretical Computer Science

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Normal Coordinates and Primitive Elements�in the Hopf Algebra of Renormalization

Marcos Rosenbaum

Commun Math Phys, 2002

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A Quantization of the Loday-Ronco Hopf Algebra

João N . Esteves

2021

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On the Hopf Algebraic Structure of Lie Group Integrators

Will Wright

Foundations of Computational Mathematics, 2007

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Normal Coordinates and Primitive Elements¶in the Hopf Algebra of Renormalization

Marcos Rosenbaum

Communications in Mathematical Physics, 2002

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Species substitution, graph suspension, and graded Hopf algebras of painted tree polytopes

Maria Ronco

Algebraic & Geometric Topology

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Progress in distributive homology: from q-polynomial of rooted trees to Yang-Baxter homology

Jozef Przytycki

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Hopf algebra primitives in perturbation quantum field theory

Marcos Rosenbaum, David Vergara

Journal of Geometry and Physics, 2004

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