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math.CO2025
A combinatorial interpretation for certain plethysm and Kronecker coefficients
Igor Pak, Greta Panova, Joshua P. Swanson
We give explicit positive combinatorial interpretations for the plethysm coefficients , when has at most two rows, as counting certain marked tree…
math.CO2024
Super major index and Thrall's problem
Sam Armon, Joshua P. Swanson
Thrall's problem asks for the Schur decomposition of the higher Lie modules , which are defined using the free Lie algebra and decompose the tensor algebra as a gene…