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math.CO2026
On the maximal dimension of an irreducible representation of the symmetric group
Amol Aggarwal, Dor Elboim
We prove that the maximal dimension of an irreducible representation of the symmetric group satisfies $$d_N=\sqrt{N!} \, e^{-(\mathfrak{d}+o(1))\sqrt{N} }, \quad N\to \…
math.CO2021
Colored Fermionic Vertex Models and Symmetric Functions
Amol Aggarwal, Alexei Borodin, Michael Wheeler
In this text we introduce and analyze families of symmetric functions arising as partition functions for colored fermionic vertex models associated with the quantized affine Lie su…