Fixed points of reverse Hessenberg convolution varieties
Representation Theory
2024-12-13 v1 Combinatorics
Abstract
Associated to any unit interval graph, Syu Kato introduced a variety which gives (via the geometric Satake correspondence) a graded representation whose character is the chromatic quasisymmetric polynomial of the graph. In this short note, we reprove Kato's result by analyzing the fixed points of his varieties.
Cite
@article{arxiv.2412.09446,
title = {Fixed points of reverse Hessenberg convolution varieties},
author = {Joel Kamnitzer},
journal= {arXiv preprint arXiv:2412.09446},
year = {2024}
}
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5 pages