2 citations · 7 across the 12 of their papers we have counts for
16 papers
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…
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…
On the Correspondence Between Integer Sequences and Vacillating Tableaux
Zhanar Berikkyzy, Pamela E. Harris, Anna Pun +2
A fundamental identity in the representation theory of the partition algebra is for , where ranges over integer partitions of , is t…
Combinatorial Identities for Vacillating Tableaux
Zhanar Berikkyzy, Pamela E. Harris, Anna Pun +2
Vacillating tableaux are sequences of integer partitions that satisfy specific conditions. The concept of vacillating tableaux stems from the representation theory of the partition…
A raising operator formula for Macdonald polynomials
Jonah Blasiak, Mark Haiman, Jennifer Morse +2
We give an explicit raising operator formula for the modified Macdonald polynomials , which follows from our recent formula for on an LLT polynomial…
On the Limiting Vacillating Tableaux for Integer Sequences
Zhanar Berikkyzy, Pamela E. Harris, Anna Pun +2
A fundamental identity in the representation theory of the partition algeba is for , where ranges over integer partitions of , is th…