Hongsheng Hu

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math.RT2024

On exterior powers of reflection representations, II

Hongsheng Hu

Let $W$ be a group endowed with a finite set $S$ of generators. A representation $(V, ρ)$ of $W$ is called a reflection representation of $(W, S)$ if $ρ (s)$ is a (generalized) reflec…

math.RT2023

Strongly dominant weight polytopes are cubes

Gaston Burrull, Tao Gui, Hongsheng Hu

For any root system of rank $r$ , we study the "dominant weight polytope" $P^{λ}$ associated with a strongly dominant weight $λ$ . We prove that $P^{λ}$ is combinatorially equivalent to…