تقرير
A Note On the Orbits of a Symmetric Subgroup in the Flag Variety
| العنوان: | A Note On the Orbits of a Symmetric Subgroup in the Flag Variety |
|---|---|
| المؤلفون: | Barchini, Leticia, Trapa, Peter E. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, 22E46 |
| الوصف: | Motivated by relating the representation theory of the split real and $p$-adic forms of a connected reductive algebraic group $G$, we describe a subset of $2^r$ orbits on the complex flag variety for a certain symmetric subgroup. (Here $r$ is the semisimple rank of $G$.) This set of orbits has the property that, while the closure of individual orbits are generally singular, they are always smooth along other orbits in the set. This, in turn, implies consequences for the representation theory of the split real group. Comment: 13 pages, to appear in the Festschrift for Toshiyuki Kobayashi |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.17952 |
| رقم الأكسشن: | edsarx.2402.17952 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |