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math.RA2020
Graded 2-generated axial algebras
Madeleine Whybrow
Axial algebras are non-associative algebras generated by semisimple idempotents whose adjoint actions obey a fusion law. Axial algebras that are generated by two such idempotents p…
math.RA2018
An infinite family of axial algebras
Madeleine Whybrow
Axial algebras are non-associative algebras generated by semisimple idempotents, known as axes, that all obey a fusion rule. Axial algebras were introduced by Hall, Rehren and Shpe…