3 papers
math.CO2026
Universal Hilbert series coefficients of the superspace coinvariant ring
Sylvie Corteel, John Lentfer
The coefficients that determine the Hilbert series of the superspace coinvariant ring are indexed by hook-shaped partitions. We give a manifestly positive combinatorial interpretat…
math.CO2026
Lecture hall graphs and the Askey scheme
Sylvie Corteel, Bhargavi Jonnadula, Jonathan P. Keating +1
We establish, for every family of orthogonal polynomials in the -Askey scheme and the Askey scheme, a combinatorial model for mixed moments and coefficients in terms of paths…
math.CO2024
Colored vertex models and -tilings of the Aztec diamond
Sylvie Corteel, Andrew Gitlin, David Keating
We study -tilings (-tuples of domino tilings) of the Aztec diamond of rank . We assign a weight to each -tiling, depending on the number of dominos of certain types and…