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EnglishRecently Yabe gived an almost complete classification of primitive symmetric 2-generated axial algebras of Monster type, leaving open the case of algebras in characteristic 5 and axial dimension larger than 5. In this note, we complete the classification of these algebras, by constructing a new infinite-dimensional primitive 2-generated symmetric axial algebra H of Monster type (2, 1/2) over a field of characteristic 5, and showing all the cases not falling into Yabe's classification are factors of H.
Franchi, C., Mainardis, M., Classifying 2-generated symmetric axial algebras of Monster type, <<JOURNAL OF ALGEBRA>>, 2022; 2022 (596): 200-218. [doi:10.1016/j.jalgebra.2022.01.004] [http://hdl.handle.net/10807/194060]
| Autori: | ||
| Titolo: | Classifying 2-generated symmetric axial algebras of Monster type | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jalgebra.2022.01.004 | |
| Data di pubblicazione: | 2022 | |
| Abstract: | Recently Yabe gived an almost complete classification of primitive symmetric 2-generated axial algebras of Monster type, leaving open the case of algebras in characteristic 5 and axial dimension larger than 5. In this note, we complete the classification of these algebras, by constructing a new infinite-dimensional primitive 2-generated symmetric axial algebra H of Monster type (2, 1/2) over a field of characteristic 5, and showing all the cases not falling into Yabe's classification are factors of H. | |
| Lingua: | Inglese | |
| Rivista: | ||
| Citazione: | Franchi, C., Mainardis, M., Classifying 2-generated symmetric axial algebras of Monster type, <<JOURNAL OF ALGEBRA>>, 2022; 2022 (596): 200-218. [doi:10.1016/j.jalgebra.2022.01.004] [http://hdl.handle.net/10807/194060] | |
| Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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