Reduction rules for Demazure modules
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915799488266240 |
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| author | Besson, Marc Jeralds, Sam Kiers, Joshua |
| author_facet | Besson, Marc Jeralds, Sam Kiers, Joshua |
| contents | 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 $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13966 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Reduction rules for Demazure modules Besson, Marc Jeralds, Sam Kiers, Joshua Representation Theory Algebraic Geometry 14M15, 22E46, 17B10, 05E10, 52A40 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 $G$. |
| title | Reduction rules for Demazure modules |
| topic | Representation Theory Algebraic Geometry 14M15, 22E46, 17B10, 05E10, 52A40 |
| url | https://arxiv.org/abs/2602.13966 |