Generating functions of $W_{1+\infty}$ action on symmetric functions
Combinatorics
2026-02-20 v2 Mathematical Physics
math.MP
Representation Theory
Abstract
We describe the action of the infinite-dimensional Lie algebra and its B-type analogue on Schur and Schur Q-functions, respectively, using formal distributions framework. We observe an interesting self-duality property possessed by these compact formulas.
Cite
@article{arxiv.2511.02710,
title = {Generating functions of $W_{1+\infty}$ action on symmetric functions},
author = {Caleb Fernelius and Natasha Rozhkovskaya},
journal= {arXiv preprint arXiv:2511.02710},
year = {2026}
}