Poisson geometrical symmetries associated to non-commutative formal diffeomorphisms

DOI10.1007/s00220-004-1175-7zbMath1158.81339arXivmath/0309163OpenAlexW2105698362MaRDI QIDQ852100

Fabio Gavarini

Publication date: 27 November 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309163

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Perturbative methods of renormalization applied to problems in quantum field theory (81T15)

Related Items

Non-commutative Hopf algebra of formal diffeomorphisms., Free Poisson Hopf algebras generated by coalgebras, The crystal duality principle: from Hopf algebras to geometrical symmetries, Unnamed Item, The global quantum duality principle

Cites Work

• Unnamed Item
• Unnamed Item
• The Hopf algebras of decorated rooted trees. II
• Hopf algebra of the planar binary trees
• Hopf algebras, renormalization and noncommutative geometry
• The Hopf algebras of decorated rooted trees. I
• The quantum duality principle
• Finite dimensional comodules over the Hopf algebra of rooted trees
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• Substitution Groups of Formal Power Series
• Renormalization of QED with planar binary trees
• Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.