95 citations · 254 across the 26 of their papers we have counts for
4 papers · 2 filters
Positivity results on ribbon Schur function differences
Peter R. W. McNamara, Stephanie van Willigenburg
There is considerable current interest in determining when the difference of two skew Schur functions is Schur positive. We consider the posets that result from ordering skew diagr…
On tensor products of polynomial representations
Kevin Purbhoo, Stephanie van Willigenburg
We determine the necessary and sufficient combinatorial conditions for which the tensor product of two irreducible polynomial representations of is isomorphic to…
On the Descent Algebra of Type
N. Bergeron, S. J. van Willigenburg
Here we give a combinatorial interpretation of Solomon's rule for multiplication in the descent algebra of Weyl groups of type , . From here we show that is a homom…
Schur positivity of skew Schur function differences and applications to ribbons and Schubert classes
Ronald C. King, Trevor A. Welsh, Stephanie J. van Willigenburg
Some new relations on skew Schur function differences are established both combinatorially using Schützenberger's jeu de taquin, and algebraically using Jacobi-Trudi determinants.…