Quantizations of Hopf algebras of decorated planar trees and connection with quantum groups.

DOI10.1016/S0007-4497(03)00028-9zbMath1042.16023MaRDI QIDQ1408357

Loïc Foissy

Publication date: 15 September 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

Hopf algebrasquantum groupsrooted trees

Mathematics Subject Classification ID

Trees (05C05) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (3)

Braided Rota–Baxter algebras, quantum quasi-shuffle algebras and braided dendriform algebras ⋮ Braided dendriform and tridendriform algebras, and braided Hopf algebras of rooted trees ⋮ The infinitesimal Hopf algebra and the poset of planar forests.

Cites Work

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• Combinatorics of (perturbative) quantum field theory
• The Hopf algebras of decorated rooted trees. I
• On overlapping divergences
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• On the structure of Hopf algebras
• Bialgebras of type one^*

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