Igor Pak

activity

20202025

most citedBreaking down the reduced Kronecker coefficients

2 citations · 4 across the 3 of their papers we have counts for

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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 $⟨ s_{μ} [s_{ν}], s_{λ} ⟩$ , when $λ$ has at most two rows, as counting certain marked tree…

math.CO2023★ 2 cited

On the cross-product conjecture for the number of linear extensions

Swee Hong Chan, Igor Pak, Greta Panova

We prove a weak version of the cross--product conjecture: $F (k + 1, ℓ) F (k, ℓ + 1) \geq (\frac{1}{2} + ε) F (k, ℓ) F (k + 1, ℓ + 1)$ , where $F (k, ℓ)$ is the number of…

math.CO2020★ 2 cited

Breaking down the reduced Kronecker coefficients

Igor Pak, Greta Panova

We resolve three interrelated problems on \emph{reduced Kronecker coefficients} $g (α, β, γ)$ . First, we disprove the \emph{saturation property} which states that $\overlin…