Nonabelian Generalized Lax Pairs, the Classical Yang-Baxter Equation and PostLie Algebras

Integrals of nonlinear equations of evolution and solitary waves

Peter D. Lax · Communications on Pure and Applied Mathematics · 1968 · 3K citations

Spectral Theory, Nonlinear Equations Evolutions, Nonlinear Wave Propagation +6

Curvatures of left invariant metrics on lie groups

John Milnor · Advances in Mathematics · 1976 · 1.3K citations

Lie Group, Left Invariant Metrics, Geometry +2

Hopf Algebras, Renormalization and Noncommutative Geometry

Alain Connes, Dirk Kreimer · Communications in Mathematical Physics · 1998 · 800 citations · Full text

Hopf Algebra, Non-commutative Algebra, Hopf Algebras

On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-devries type equations

Mark Adler · Inventiones mathematicae · 1978 · 760 citations

Spectral Theory, Formal Pseudo-differential Operators, Engineering +7

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