25 citations · 225 across the 54 of their papers we have counts for
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Temperley-Lieb pfaffinants and Schur -positivity conjectures
Thomas Lam, Pavlo Pylyavskyy
We study pfaffian analogues of immanants, which we call pfaffinants. Our main object is the TL-pfaffinants which are analogues of Rhoades and Skandera's TL-immanants. We show that…
P-partition products and fundamental quasi-symmetric function positivity
Thomas Lam, Pavlo Pylyavskyy
We show that certain differences of products of -partition generating functions are positive in the basis of fundamental quasi-symmetric functions L_α. This result interpolates…
On products of sl_n characters and support containment
Galyna Dobrovolska, Pavlo Pylyavskyy
Let , , and be dominant weights of satisfying . Let denote the highest weight module corresponding to . Lam, Postnikov, Pylyavs…
Non-Crossing Tableaux
Pavlo Pylyavskyy
In combinatorics there is a well-known duality between non-nesting and non-crossing objects. In algebra there are many objects which are standard, for example Standard Young Tablea…