Multiplicity-free representations of the principal A1-subgroup in a simple algebraic group

التفاصيل البيبلوغرافية
العنوان: Multiplicity-free representations of the principal A1-subgroup in a simple algebraic group
المؤلفون: Rizzoli, Aluna, Testerman, Donna
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Representation Theory, Mathematics - Group Theory
الوصف: Let G be a simple algebraic group defined over an algebraically closed field k of characteristic p>0. Here we classify all irreducible kG-modules for which the principal A1 has no repeated composition factors, extending the work of Liebeck-Seitz-Testerman which treated the same question when k is replaced by an algebraically closed field of characteristic zero.
Comment: 37 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2402.12064
رقم الأكسشن: edsarx.2402.12064
قاعدة البيانات: arXiv