تقرير
Global Representation Ring and Knutson Index
| العنوان: | Global Representation Ring and Knutson Index |
|---|---|
| المؤلفون: | Johnston, Dylan, Duro, Diego Martín, Rumynin, Dmitriy |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, Mathematics - Group Theory, Mathematics - Representation Theory, 19A22, 13E15, 20D20 |
| الوصف: | Global representation rings were discovered by Sarah Witherspoon in 1995 and the Knutson Index was introduced by the second author in 2022. In the present paper we introduce the Knutson Index for general commutative rings and study it for Burnside rings and global representation rings. We also introduce the global table of a finite group, that encompasses both the character table and the Burnside table of marks. We discuss what properties of a group can be recovered from its global table. Comment: Version 4: Question 3.7 answered, and new questions added at the end of section 4. New computational examples added and minor typos corrected |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.18498 |
| رقم الأكسشن: | edsarx.2403.18498 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |