Gardado en:
| Main Authors: | , |
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| Formato: | Preprint |
| Publicado: |
2019
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| Subjects: | |
| Acceso en liña: | https://arxiv.org/abs/1908.11041 |
| Tags: |
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Table of Contents:
- We give a new formula for the branching rule from ${\rm GL}_n$ to ${\rm O}_n$ generalizing the Littlewood's restriction formula. The formula is given in terms of Littlewood-Richardson tableaux with certain flag conditions which vanish in a stable range. As an application, we give a combinatorial formula for the Lusztig $t$-weight multiplicity $K_{μ0}(t)$ of type $B_n$ and $D_n$ with highest weight $μ$ and weight $0$.