Maria Gillespie

activity

20162024

collaborators

3 papers

math.CO2024

Higher Specht polynomials under the diagonal action

Maria Gillespie

We introduce higher Specht polynomials - analogs of Specht polynomials in higher degrees - in two sets of variables $x_{1}, \dots, x_{n}$ and $y_{1}, \dots, y_{n}$ under the diagonal action…

math.CO2023

Cocharge and skewing formulas for $Δ$ -Springer modules and the Delta Conjecture

Maria Gillespie, Sean T. Griffin

We prove that $ω Δ_{e_{k}}^{'} e_{n} ∣_{t = 0}$ , the symmetric function in the Delta Conjecture at $t = 0$ , is a skewing operator applied to a Hall-Littlewood polynomial, and generalize this f…

math.CO2016

Macdonald symmetry at $q = 1$ and a new class of inv-preserving bijections on words

Maria Gillespie, Ryan Kaliszewski, Jennifer Morse

We give a direct combinatorial proof of the $q, t$ -symmetry relation $H ~_{μ} (X; q, t) = H ~_{μ^{'}} (X; t, q)$ in the Macdonald polynomials $H ~_{μ}$ at the specialization $q = 1$ .…

Higher Specht polynomials under the diagonal action

Cocharge and skewing formulas for Δ-Springer modules and the Delta Conjecture

Macdonald symmetry at q=1 and a new class of inv-preserving bijections on words

Cocharge and skewing formulas for $Δ$ -Springer modules and the Delta Conjecture

Macdonald symmetry at $q = 1$ and a new class of inv-preserving bijections on words