105 citations · 633 across the 54 of their papers we have counts for
5 papers · 1 filter
A positivity conjecture on the structure constants of shifted Jack functions
Per Alexandersson, Valentin Féray
We consider Jack polynomials and their shifted analogue $J^#_λ$. In 1989, Stanley conjectured that is a polynomial with nonnegative coefficients…
A combinatorial model for the decomposition of multivariate polynomial rings as -modules
Rosa Orellana, Mike Zabrocki
We consider the symmetric group -module of the polynomial ring with sets of commuting variables and sets of anti-commuting variables and show that the multipl…
An insertion algorithm on multiset partitions with applications to diagram algebras
Laura Colmenarejo, Rosa Orellana, Franco Saliola +2
We generalize the Robinson-Schensted-Knuth algorithm to the insertion of two row arrays of multisets. This generalization leads to new enumerative results that have representation…
A module for the Delta conjecture
Mike Zabrocki
We define a module that is an extension of the diagonal harmonics and whose graded Frobenius characteristic is conjectured to be the symmetric function expression which appears in…
The Hopf structure of symmetric group characters as symmetric functions
Rosa Orellana, Mike Zabrocki
In arXiv:1605.06672 the authors introduced inhomogeneous bases of the ring of symmetric functions. The elements in these bases have the property that they evaluate to characters of…