Year: 2026
Type: preprint
Abstract: For $G$ a complex reductive group and $B \subseteq G$ a Borel subgroup, we provide a reduction rule for certain weight multiplicities in Demazure modules $V_λ^w$: given a weight $μ$ on a face of the associated weight polytope $P_λ^w$, we reduce the computation of the dimension of the weight space $V_λ^w(μ)$ to a similar problem of computing the weight space dimension for a Demazure module of a Levi subgroup of $G$.
Source: arXiv (Cornell University)
Authors: Besson, Marc, Jeralds, Sam, Kiers, Joshua
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7129913690
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