28 citations · 60 across the 14 of their papers we have counts for
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Enumerating 3-generated axial algebras of Monster type
Sanhan Khasraw, Justin McInroy, Sergey Shpectorov
An axial algebra is a commutative non-associative algebra generated by axes, that is, primitive, semisimple idempotents whose eigenvectors multiply according to a certain fusion la…
On the structure of axial algebras
Sanhan Khasraw, Justin McInroy, Sergey Shpectorov
Axial algebras are a recently introduced class of non-associative algebra motivated by applications to groups and vertex-operator algebras. We develop the structure theory of axial…
An expansion algorithm for constructing axial algebras
Justin McInroy, Sergey Shpectorov
An axial algebra is a commutative non-associative algebra generated by primitive idempotents, called axes, whose adjoint action on is semisimple and multiplication of eigen…
Code algebras which are axial algebras and their -gradings
Alonso Castillo-Ramirez, Justin McInroy
A code algebra is a non-associative commutative algebra defined via a binary linear code . We study certain idempotents in code algebras, which we call small idempotents,…