Ryan Kaliszewski

activity

20142023

most citedBases of the quantum matrix bialgebra and induced sign characters of the Hecke algebra

1 citations · 2 across the 8 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.CO2016

A Rational Catalan Formula for $(m, 3)$ -Hikita Polynomials

Ryan Kaliszewski, Debdut Karmakar

Building upon a recent formula for $(3, m)$ -Catalan polynomials, we describe a formula for $(3, m)$ -Hikita polynomials in terms related to Catalan polynomials. This formula shows a s…

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 $q = 1$ .…

math.CO2016

Rational Catalan polynomials and rank words

Ryan Kaliszewski, Huilan Li

For $m, n$ coprime we introduce a new statistic skip on $(m, n)$ -rational Dyck paths and give a fast way to compute dinv and skip statistics. We also introduce $(m, n)$ -rank words, wh…

A Rational Catalan Formula for (m,3)-Hikita Polynomials

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

Rational Catalan polynomials and rank words

A Rational Catalan Formula for $(m, 3)$ -Hikita Polynomials

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