21 citations · 36 across the 7 of their papers we have counts for
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Lattice paths and branched continued fractions. II. Multivariate Lah polynomials and Lah symmetric functions
Mathias Pétréolle, Alan D. Sokal
We introduce the generic Lah polynomials , which enumerate unordered forests of increasing ordered trees with a weight for each vertex with children. We show…
Lattice paths and branched continued fractions: An infinite sequence of generalizations of the Stieltjes--Rogers and Thron--Rogers polynomials, with coefficientwise Hankel-total positivity
Mathias Pétréolle, Alan D. Sokal, Bao-Xuan Zhu
We define an infinite sequence of generalizations, parametrized by an integer , of the Stieltjes--Rogers and Thron--Rogers polynomials; they arise as the power-series expa…
Extensions of character formulas by the Littlewood decomposition
Mathias Pétréolle
In 2015, the author proved combinatorially character formulas expressing sums of the (formal) dimensions of irreducible representations of symplectic groups, refining some works of…
Generating series of cyclically fully commutative elements is rational
Mathias Pétréolle
In this paper, we study the generating function of cyclically fully commutative elements in Coxeter groups, which are elements such that any cyclic shift of theirs reduced decompos…
Generating series of Periodic Parallelogram polyominoes
Jean Christophe Aval, Adrien Boussicault, Patxi Laborde-Zubieta +1
The aim of this work is the study of the class of periodic parallelogram polyominoes, and two of its variantes. These objets are related to 321-avoiding affine permutations. We fir…
A Nekrasov-Okounkov type formula for type C
Mathias Pétréolle
In 2008, Han rediscovered an expansion of powers of Dedekind function due to Nekrasov and Okounkov by using Macdonald's identity in type . In this paper, we obta…
A Nekrasov-Okounkov Type formula for
Mathias Pétréolle
In 2008, Han rediscovered an expansion of powers of Dedekind function attributed to Nekrasov and Okounkov (which was actually first proved the same year by Westbury) by using a…