2 papers
math.CO2016
Contents of partitions and the combinatorics of permutation factorizations in genus 0
S. R. Carrell, I. P. Goulden
The central object of study is a formal power series that we call the content series, a symmetric function involving an arbitrary underlying formal power series in the contents…
math.CO2009
Symmetric functions, codes of partitions and the KP hierarchy
S. R. Carrell, I. P. Goulden
We consider an operator of Bernstein for symmetric functions, and give an explicit formula for its action on an arbitrary Schur function. This formula is given in a remarkably simp…