Exponentially large mu-coefficients

Using webs, we prove that Kazhdan-Lusztig mu-coefficients for symmetric groups grow at least exponentially with the rank, already for pairs labeled by a three-row rectangle.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-26
DOI
https://doi.org/10.48550/arxiv.2610.34982
Primary Topic
Advanced Combinatorial Mathematics
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Exponentially large mu-coefficients

Daniel Tubbenhauer, Pedro Vaz, Abel Lacabanne, Tom Goertzen
arXiv (Cornell University)
Advanced Combinatorial Mathematics
preprint

Exponentially large mu-coefficients

Daniel Tubbenhauer, Pedro Vaz, Abel Lacabanne, Tom Goertzen
preprint en

Abstract

Using webs, we prove that Kazhdan-Lusztig mu-coefficients for symmetric groups grow at least exponentially with the rank, already for pairs labeled by a three-row rectangle.

arXiv (Cornell University)
Advanced Combinatorial Mathematics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
Exponentially large mu-coefficients — Daniel Tubbenhauer, Pedro Vaz, et al. · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS