تقرير
A construction of pseudo-reductive groups with non-reduced root system
| العنوان: | A construction of pseudo-reductive groups with non-reduced root system |
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| المؤلفون: | Bate, Michael, Röhrle, Gerhard, Sercombe, Damian, Stewart, David I. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 20G15 |
| الوصف: | We describe a straightforward construction of the pseudo-split absolutely pseudo-simple groups of minimal type with irreducible root systems of type $BC_n$; these exist only in characteristic $2$. We also give a formula for the dimensions of their irreducible modules. Comment: 22 pages; version accepted for publication in Transformation Groups; appendix added to show an alternative approach using a significant theorem in Conrad--Gabber--Prasad |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2205.00800 |
| رقم الأكسشن: | edsarx.2205.00800 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |