Factorizations of symmetric Macdonald polynomials
Mathematical Physics
2017-07-19 v2 Combinatorics
math.MP
Quantum Algebra
Representation Theory
Abstract
We prove many factorization formulas for highest weight Macdonald polynomials indexed by particular partitions called quasistaircases. As a consequence we prove a conjecture of Bernevig and Haldane stated in the context of the fractional quantum Hall theory.
Cite
@article{arxiv.1707.00897,
title = {Factorizations of symmetric Macdonald polynomials},
author = {Laura Colmenarejo and Charles F. Dunkl and Jean-Gabriel Luque},
journal= {arXiv preprint arXiv:1707.00897},
year = {2017}
}
Comments
D\'edicac\'e \`a Jean-Yves Thibon pour son soixanti\`eme anniversaire. 34 pages, 4 figures