تقرير
Inner products of deep level Deligne--Lusztig representations of Coxeter type
| العنوان: | Inner products of deep level Deligne--Lusztig representations of Coxeter type |
|---|---|
| المؤلفون: | Ivanov, Alexander B., Nie, Sian, Tan, Panjun |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, Mathematics - Algebraic Geometry, 20G05, 20G25, 20G40, 11G25 |
| الوصف: | In this article we prove orthogonality relations for deep level Deligne--Lusztig varieties of Coxeter type, attached to a reductive group over a local non-archimedean field, which splits over an unramified extension. This extends results of Dudas and the first author, where the quasi-split case was handled. This allows to construct new irreducible representations of parahoric subgroups of $p$-adic groups. Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.18694 |
| رقم الأكسشن: | edsarx.2407.18694 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |