55 citations · 160 across the 25 of their papers we have counts for
27 papers
Operadic construction of the renormalization group
Jean-Louis Loday, Nikolay M. Nikolov
First, we give a functorial construction of a group associated to a symmetric operad. Applied to the endomorphism operad it gives the group of formal diffeomorphisms. Second, we as…
Exponential series without denominators
Jean-Louis Loday
For a commutative algebra which comes from a Zinbiel algebra the exponential series can be written without denominators. When lifted to dendriform algebras this new series satisfie…
Free loop space and homology
Jean-Louis Loday
The aim of this paper is to explain the relationship between the (co)homology of the free loop space and the Hochschild homology of its singular cochain algebra. We introduce all t…
Some problems in operad theory
Jean-Louis Loday
This is a list of some problems and conjectures related to various types of algebras, that is to algebraic operads. Some comments and hints are included.
Dichotomy of the addition of natural numbers
Jean-Louis Loday
This is an elementary presentation of the arithmetic of trees. We show how it is related to the Tamari poset. In the last part we investigate various ways of realizing this poset a…
The YY game
Jean-Louis Loday
We introduce a new one-person game similar to the Sudoku game. It is based on combinatorial objects called planar binary rooted trees. It is related to the four color conjecture. I…