E. E. Allen

activity

20162025

most citedA combinatorial interpretation of the noncommutative inverse Kostka matrix

3 citations · 3 across the 3 of their papers we have counts for

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4 papers · 1 filter

math.CO2025

A new proof of an Eğecioğlu--Remmel inverse Kostka matrix problem via a Garsia--Milne involution involving Sym and NSym

Edward E. Allen, Kyle Celano, Sarah K. Mason

Eğecioğlu and Remmel provide a combinatorial proof (using special rim hook tableaux) that the product of the Kostka matrix $K$ and its inverse $K^{- 1}$ equals the identity matrix $…

math.CO2022★ 3 cited

A combinatorial interpretation of the noncommutative inverse Kostka matrix

Edward E Allen, Sarah K Mason

We provide a combinatorial formula for the expansion of immaculate noncommutative symmetric functions into complete homogeneous noncommutative symmetric functions. To do this, we i…

math.CO2019

Multivariable Lucas Polynomials and Lucanomials

Edward E. Allen, Katherine Riley, Michael Weselcouch

Lucas polynomials are polynomials in $s_{1}$ and $s_{2}$ defined recursively by ${0} = 0$ , ${1} = 1$ , and ${m} = s_{1} {m - 1} + s_{2} {m - 2}$ for $m \geq 2$ . We generalize Lucas polynomials…

math.CO2016

Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions

Edward E. Allen, Joshua Hallam, Sarah K. Mason

We describe a combinatorial formula for the coefficients when the dual immaculate quasisymmetric functions are decomposed into Young quasisymmetric Schur functions. We prove this u…