تقرير
On Jordan algebras that are factors of Matsuo algebras
| العنوان: | On Jordan algebras that are factors of Matsuo algebras |
|---|---|
| المؤلفون: | Gorshkov, Ilya, Mamontov, Andrey, Staroletov, Alexey |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, Mathematics - Group Theory, 17A99, 20F29 |
| الوصف: | We describe all finite connected 3-transposition groups whose Matsuo algebras have nontrivial factors that are Jordan algebras. As a corollary, we show that if F is a field of characteristic 0, then there exist infinitely many primitive axial algebras of Jordan type 1/2 over F that are not factors of Matsuo algebras. As an illustrative example, we prove this for an exceptional Jordan algebra over F. Comment: updated links to calculations |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2305.10958 |
| رقم الأكسشن: | edsarx.2305.10958 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |