Exponentially large mu-coefficients

Tom Goertzen; Abel Lacabanne; Daniel Tubbenhauer; Pedro Vaz

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arXiv · 2610.34982

Exponentially large mu-coefficients

Tom Goertzen·Abel Lacabanne·Daniel Tubbenhauer·Pedro Vaz

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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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Tom Goertzen, Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz. 2026-10-26. Exponentially large mu-coefficients. https://arxiv.org/abs/2610.34982

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