# Articles by Loïc Le Mogne

## (q,t)-symmetry in triangular partitions

We study the \((q,t)\) enumeration of the Triangular Dyck paths, i.e. the sub-partitions of the so-called triangular partitions discussed by Bergeron and Mazin. This is a generalization of the general \((q,t)\) enumeration of Catalan objects. We present new combinatorial notions such as the triangular tableau and the ...

## (q,t)-symmetry in triangular partitions

summary: The study of Dyck paths and parking functions combinatorics is a central piece of the Diagonal Harmonic Polynomials theory. It is the origin of many currents problems of algebraic combinatorics. Interactioncs between Dyck paths, parking functions, the Tamari lattice, symmetric functions and other fields of mathematics or physics have ...