37 citations · 193 across the 39 of their papers we have counts for
7 papers · 1 filter
Ehrhart positivity and Demazure characters
Per Alexandersson, Elie Alhajjar
Demazure characters, also known as key polynomials, generalize the classical Schur polynomials. In particular, when all variables are set equal to , these polynomials count the…
Some conjectures on the Schur expansion of Jack polynomials
Per Alexandersson, James Haglund, George Wang
We present positivity conjectures for the Schur expansion of Jack symmetric functions in two bases given by binomial coefficients. Partial results suggest that there are rich combi…
-partitions and -positivity
Per Alexandersson, Robin Sulzgruber
Using the combinatorics of -unimodal sets, we establish two new results in the theory of quasisymmetric functions. First, we obtain the expansion of the fundamental basis into q…
Enumeration of border-strip decompositions & Weil-Petersson volumes
Per Alexandersson, Linus Jordan
We describe an injection from border-strip decompositions of certain shapes to permutations. This allows us to provide enumeration results, as well as -analogues of enumeration…
On the Schur expansion of Jack polynomials
Per Alexandersson, James Haglund, George Wang
We present positivity conjectures for the Schur expansion of Jack symmetric functions in two bases given by binomial coefficients. Partial results suggest that there are rich combi…
The Cone of Cyclic Sieving Phenomena
Per Alexandersson, Nima Amini
We study cyclic sieving phenomena (CSP) on combinatorial objects from an abstract point of view by considering a rational polyhedral cone determined by the linear equations that de…
Properties of non-symmetric Macdonald polynomials at and
Per Alexandersson, Mehtaab Sawhney
We examine the non-symmetric Macdonald polynomials at , as well as the more general permuted-basement Macdonald polynomials. When , we show that …