3 papers
math.CO2025
Constructing Hall-Littlewood Functions via a Deformation of the Bernstein Operator
John Graf
The Bernstein operator acts on a Schur function by appending a part to the index, i.e., . This provides a method of constructing…
math.CO2025
Plethysm Stability of Schur's -functions
John Graf, Naihuan Jing
Schur functions has been shown to satisfy certain plethysm stability properties and recurrence relations. In this paper, use vertex operator methods to study analogous stability pr…
math.CO2024
Pfaffian Formulation of Schur's -functions
John Graf, Naihuan Jing
We introduce a Pfaffian formula that extends Schur's -functions to be indexed by compositions with negative parts. This formula makes the Pfaffian construction more…