Bihomogeneous symmetric functions
Combinatorics
2021-07-01 v1
Abstract
We consider two natural gradings on the space of symmetric functions: by degree and by length. We introduce a differential operator that leaves the components of this double grading invariant and exhibit a basis of bihomogeneous symmetric functions in which this operator is triangular. This allows us to compute the eigenvalues of , which turn out to be non-negative integers.
Cite
@article{arxiv.1611.04060,
title = {Bihomogeneous symmetric functions},
author = {Yuly Billig},
journal= {arXiv preprint arXiv:1611.04060},
year = {2021}
}