Mathieu-Pierre Weil

Paths and partitions : combinatorial descriptions of the parafermionic states Pierre Mathieu

The Zk parafermionic conformal field theories, despite the relative complexity of their modes algebra, offer the simplest context for the study of the bases of states and their different combinatorial representations. Three bases are known. The classic one is given by strings of the fundamental parafermionic operators whose sequences of modes are in correspondence with restricted partitions wit...

P. Mathieu

2 8 M ay 2 00 9 Paths and partitions : combinatorial descriptions of the parafermionic states Pierre Mathieu

The Zk parafermionic conformal field theories, despite the relative complexity of their modes algebra, offer the simplest context for the study of the bases of states and their different combinatorial representations. Three bases are known. The classic one is given by strings of the fundamental parafermionic operators whose sequences of modes are in correspondence with restricted partitions wit...

Mathieu Groups

In this essay, we will discuss some interesting properties of the Mathieu groups, which are a family of five sporadic finite simple groups, as well as some closely related topics. One construction of the Mathieu groups involves Steiner systems, so we will begin by discussing Steiner systems.

CAT Mathieu Cauchie 2016