2 citations · 2 across the 2 of their papers we have counts for
5 papers
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…
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…
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…
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,…
Majorana algebras generated by a 2A algebra and one further axis
Madeleine L. Whybrow
We consider Majorana algebras generated by three Majorana axes , and such that and generate a dihedral algebra of type 2A. We show that such an algebra…