3 papers
math.CO2019
A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I: Rows
Maciej Dołęga, Thomas Gerber, Jacinta Torres
We prove a conjecture of Lecouvey, which proposes a closed, positive combinatorial formula for symplectic Kostka-Foulkes polynomials, in the case of rows of arbitrary weight. To sh…
math.CO2011
Polynomial functions on Young diagrams arising from bipartite graphs
Maciej Dołega, Piotr Śniady
We study the class of functions on the set of (generalized) Young diagrams arising as the number of embeddings of bipartite graphs. We give a criterion for checking when such a fun…
math.CO2011
Characters of symmetric groups in terms of free cumulants and Frobenius coordinates
Maciej Dołega, Valentin Féray, Piotr Śniady
Free cumulants are nice and useful functionals of the shape of a Young diagram, in particular they give the asymptotics of normalized characters of symmetric groups S(n) in the lim…