تقرير
Non-associative Frobenius algebras of type $E_7$
| العنوان: | Non-associative Frobenius algebras of type $E_7$ |
|---|---|
| المؤلفون: | Desmet, Jari |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras |
| الوصف: | Recently, Maurice Chayet and Skip Garibaldi introduced a class of commutative non-associative algebras. In previous work, we gave an explicit description of these algebras for groups of type $G_2,F_4$ and certain forms of $E_6$ in terms of octonion and Albert algebras. In this paper, we extend this further by dealing with $E_7$ in terms of generalised Freudenthal triple systems. Comment: 15 pages. arXiv admin note: text overlap with arXiv:2306.06910 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.01660 |
| رقم الأكسشن: | edsarx.2401.01660 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |