Big data approach to Kazhdan-Lusztig polynomials
Representation Theory
2026-02-25 v2 Machine Learning
Combinatorics
Abstract
We investigate the structure of Kazhdan-Lusztig polynomials of the symmetric group by leveraging computational approaches from big data, including exploratory and topological data analysis, applied to the polynomials for symmetric groups of up to 11 strands.
Keywords
Cite
@article{arxiv.2412.01283,
title = {Big data approach to Kazhdan-Lusztig polynomials},
author = {Abel Lacabanne and Daniel Tubbenhauer and Pedro Vaz},
journal= {arXiv preprint arXiv:2412.01283},
year = {2026}
}
Comments
27 pages, many figures, comments welcome, appeared in J. exp. math