تقرير
Inner products of deep level Deligne--Lusztig representations of Coxeter type
العنوان: | Inner products of deep level Deligne--Lusztig representations of Coxeter type |
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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 |
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