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PreprintarXiv licencearXiv

Exponentially large mu-coefficients

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.

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BibTeX
@misc{goertzen2026exponentially,
  title = {{Exponentially large mu-coefficients}},
  author = {Tom Goertzen and Abel Lacabanne and Daniel Tubbenhauer and Pedro Vaz},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34982},
  eprint = {2610.34982},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34982},
}
RIS
TY  - UNPB
TI  - Exponentially large mu-coefficients
AU  - Tom Goertzen
AU  - Abel Lacabanne
AU  - Daniel Tubbenhauer
AU  - Pedro Vaz
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.34982
UR  - https://arxiv.org/abs/2610.34982
AB  - 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.
ER  -