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math.RA2024
On axial algebras with eigenvalues
Vsevolod A. Afanasev
We study axial algebras, that is, commutative non-associative algebras generated by idempotents whose adjoint actions are semisimple and obey a fusion law. Considering the case, wh…
math.GR2024
Searching for groups related to pseudo-composition algebras
Vsevolod A. Afanasev
We study the class of idempotent-generated pseudo-composition algebras, which is a subclass of the family of axial algebras. More specifically, we utilise the group-algebra corresp…