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math.CO2025
Bounds on skew dimensions and characters of symmetric groups via thick hook decompositions
Lucas Teyssier
We introduce a new decomposition of Young diagrams into thick hooks. These thick hook decompositions enable having a better control over hook products for excited diagrams in the N…
math.RT2025
Sharp character bounds and cutoff for symmetric groups
Sam Olesker-Taylor, Lucas Teyssier, Paul Thévenin
We develop a flexible technique to bound the characters of symmetric groups, via the Naruse hook length formula, the Larsen--Shalev character bounds, and appropriate diagram slicin…