4 papers
Hall-Littlewood functions in noncommuting variables
Soojin Cho, Emma Yu Jin
In 2022 Aliniaeifard, Li, and van Willigenburg defined Schur functions in the algebra of symmetric functions in noncommuting variables (NCSym), answering an open question posed by…
On a Pieri-like rule for the Petrie symmetric functions
Emma Yu Jin, Naihuan Jing, Ning Liu
A -ribbon tiling is a decomposition of a connected skew diagram into disjoint ribbons of size . In this paper, we establish a connection between a subset of -ribbon tiling…
Equality of skew Schur functions in noncommuting variables
Emma Yu Jin, Stephanie van Willigenburg
The question of classifying when two skew Schur functions are equal is a substantial open problem, which remains unsolved for over a century. In 2022, Aliniaeifard, Li and van Will…
Towards equivalent thickened ribbon Schur functions
Emma Yu Jin, Shu Xiao Li
Two skew diagrams are defined to be equivalent if their corresponding skew Schur functions are equal. The equivalence classes of ribbons (edgewise connected skew diagrams without a…