3 papers
math.GR2021
Which Nilpotent Groups are Self-Similar?
Olivier Mathieu
Let be a finitely generated torsion free nilpotent group, and let be the space of infinite words over a finite alphabet . We investigate two types of self-similar acti…
math.RT2019
On the Free Jordan Algebras
Iryna Kashuba, Olivier Mathieu
A conjecture for the dimension and the character of the homogenous components of the free Jordan algebras is proposed. As a support of the conjecture, some numerical evidences are…
math.NT2008
On a symmetric space attached to polyzeta values
Olivier Mathieu
Quickly convergent series are given to compute polyzeta numbers. The formula involves an intricate combination of (generalized) polylogarithms at 1/2. However, the combinatorics ha…