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.

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]

Classifying 2-generated symmetric axial algebras of Monster type

Franchi, Clara;
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.
2022
Inglese
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/194060
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