37 citations · 193 across the 39 of their papers we have counts for
6 papers · 1 filter
Symmetric polynomials in the symplectic alphabet and their expression via Dickson--Zhukovsky variables
Per Alexandersson, Luis Angel González-Serrano, Egor A. Maximenko +1
Given a symmetric polynomial in variables, there exists a unique symmetric polynomial in variables such that \[ P(x_1,\ldots,x_n,x_1^{-1},\ldots,x_n^{-1}) =Q(x_1+x…
LaserTank is NP-complete
Per Alexandersson, Petter Restadh
We show that the classical game LaserTank is -complete, even when the tank movement is restricted to a single column and the only blocks appearing on the board are mir…
Cyclic sieving, skew Macdonald polynomials and Schur positivity
Per Alexandersson, Joakim Uhlin
When is a partition, the specialized non-symmetric Macdonald polynomial is symmetric and related to a modified Hall--Littlewood polynomial. We show that whenever a…
Free action and cyclic sieving on skew semi-standard Young tableaux
Per Alexandersson
In this note, we provide a short proof of Theorem 3.3 in the paper titled \emph{Crystals, semistandard tableaux and cyclic sieving phenomenon}, by Y.-T.~Oh and E.~Park, which conce…
The cyclic sieving phenomenon on circular Dyck paths
Per Alexandersson, Svante Linusson, Samu Potka
We give a -enumeration of circular Dyck paths, which is a superset of the classical Dyck paths enumerated by the Catalan numbers. These objects have recently been studied by Ale…
LLT polynomials, elementary symmetric functions and melting lollipops
Per Alexandersson
We conjecture an explicit positive combinatorial formula for the expansion of unicellular LLT polynomials in the elementary symmetric basis. This is an analogue of the Shareshian-W…