Rota–Baxter algebras and dendriform algebras

What is a classical r-matrix?

M. A. Semenov-Tyan-Shanskii · Functional Analysis and Its Applications · 1984 · 679 citations

Spectral Theory, Representation Theory, Classical R-matrix +3

Solutions of the classical Yang - Baxter equation for simple Lie algebras

A. A. Belavin, Vladimir Drinfeld · Functional Analysis and Its Applications · 1983 · 572 citations

Representation Theory, Simple Lie Algebras, Quantum Field Theory +6

An analytic problem whose solution follows from a simple algebraic identity

Glen Baxter · Pacific Journal of Mathematics · 1960 · 556 citations · Full text

Analytic Problem, Simple Algebraic Identity, Complex Function Theory

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

Communications in Mathematical Physics · 2000 · 441 citations · Full text

Hopf Algebra, Riemann-hilbert Problem, Quantum Field Theory +3

On the Hopf algebra structure of perturbative quantum field theories

Dirk Kreimer · Advances in Theoretical and Mathematical Physics · 1998 · 385 citations · Full text

Hopf Algebra, Representation Theory, Physics +9