Axial view on pseudo-composition algebras and train algebras of rank 3 Full article
| Journal |
International Journal of Algebra and Computation
ISSN: 0218-1967 , E-ISSN: 1793-6500 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2024, Volume: 34, Number: 06, Pages: 937-960 Pages count : 24 DOI: 10.1142/s0218196724500383 | ||||
| Tags | Pseudo-composition algebra; train algebra; axial algebra; Peirce decomposition; idempotent. | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (2)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
| 2 | Russian Science Foundation | 22-11-00081 |
Abstract:
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 PC(η)-axial algebras, where η is an element of the ground field. As a first step toward their classification, we describe the 2- and 3-generated subalgebras of such algebras.
Cite:
Gorshkov I.
, Mamontov A.
, Staroletov A.
Axial view on pseudo-composition algebras and train algebras of rank 3
International Journal of Algebra and Computation. 2024. V.34. N06. P.937-960. DOI: 10.1142/s0218196724500383 WOS Scopus РИНЦ OpenAlex
Axial view on pseudo-composition algebras and train algebras of rank 3
International Journal of Algebra and Computation. 2024. V.34. N06. P.937-960. DOI: 10.1142/s0218196724500383 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Mar 17, 2024 |
| Accepted: | Jun 20, 2024 |
| Published print: | Aug 3, 2024 |
| Published online: | Aug 3, 2024 |
Identifiers:
| Web of science: | WOS:001284262900001 |
| Scopus: | 2-s2.0-85200639033 |
| Elibrary: | 74155062 |
| OpenAlex: | W4400368274 |
Citing:
Пока нет цитирований