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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…
math.GR2018
Minimal 3-generated Majorana algebras
Andrey Mamontov, Alexey Staroletov, Madeleine Whybrow
Majorana theory was introduced by A. A. Ivanov as the axiomatization of certain properties of the 2A-axes of the Griess algebra. Since its inception, Majorana theory has proved to…
math.GR2018★ 6 cited
Constructing Majorana Representations
Markus Pfeiffer, Madeleine Whybrow
Majorana theory was introduced by A. A. Ivanov as an axiomatic framework in which to study objects related to the Monster simple group and the Griess algebra. Since its inception,…