Axial algebras of Monster type are a class of non-associative algebras that includes, besides associative algebras, other important examples such as the Jordan algebras and the Griess algebra. 2-generated primitive axial algebras of Monster type (a, β) naturally split into three cases: the case when a\not \in {2β,4β}, the case a=4β and a=4β. In this paper we give a complete classification all 2-generated primitive axial algebras of Monster type (2β,β).
Franchi, C., Mainardis, M., Shpectorov, S., 2-gnerated axial algebras of Monster type (2β,β), <<JOURNAL OF ALGEBRA>>, 2023; 2023 (636): 123-170. [doi:10.1016/j.jalgebra.2023.08.020] [https://hdl.handle.net/10807/247814]
2-gnerated axial algebras of Monster type (2β,β)
Franchi, Clara;
2023
Abstract
Axial algebras of Monster type are a class of non-associative algebras that includes, besides associative algebras, other important examples such as the Jordan algebras and the Griess algebra. 2-generated primitive axial algebras of Monster type (a, β) naturally split into three cases: the case when a\not \in {2β,4β}, the case a=4β and a=4β. In this paper we give a complete classification all 2-generated primitive axial algebras of Monster type (2β,β).
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