2 papers
math.CO2025
The nonsymmetric shuffle theorem
Jonah Blasiak, Mark Haiman, Jennifer Morse +2
The shuffle conjecture of Haglund et al. expresses the symmetric function as a sum over labeled Dyck paths. Here is an operator on symmetric functions defined…
math.CO2025
Flagged LLT polynomials, nonsymmetric plethysm, and nonsymmetric Macdonald polynomials
Jonah Blasiak, Mark Haiman, Jennifer Morse +2
The plethystic transformation and LLT polynomials are central to the theory of symmetric Macdonald polynomials. In this work, we introduce and study nonsy…