تقرير
Axial view on pseudo-composition algebras and train algebras of rank 3
| العنوان: | Axial view on pseudo-composition algebras and train algebras of rank 3 |
|---|---|
| المؤلفون: | Gorshkov, Ilya, Mamontov, Andrey, Staroletov, Alexey |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, 17A99 (Primary) 17C27, 17D92 (Secondary) |
| الوصف: | We show that pseudo-composition algebras and train algebras of rank 3 generated by idempotents are characterized as axial algebras with fusion laws derived from the Peirce decompositions of idempotents in these classes of algebras. The corresponding axial algebras are called $\mathcal{PC}(\eta)$-axial algebras, where $\eta$ is an element of the ground field. As a first step towards their classification, we describe $2-$ and $3$-generated subalgebras of such algebras. Comment: 19 pages, minor changes: some typos were corrected, Proposition 2 was added |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.05237 |
| رقم الأكسشن: | edsarx.2309.05237 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |