28 citations · 60 across the 14 of their papers we have counts for
15 papers
A guide to the -generated axial algebras of Monster type
Justin McInroy, Abdul Wajid Mir
Axial algebras of Monster type are a class of non-associative algebras which generalise the Griess algebra, whose automorphism group is the largest sporadic simple group, the Monst…
Automorphism groups of axial algebras
Ilya Gorshkov, Justin McInroy, Tendai Mudziiri Shumba +1
Axial algebras are a class of commutative non-associative algebras which have a natural group of automorphisms, called the Miyamoto group. The motivating example is the Griess alge…
Axial algebras of Jordan and Monster type
Justin McInroy, Sergey Shpectorov
Axial algebras are a class of non-associative commutative algebras whose properties are defined in terms of a fusion law. When this fusion law is graded, the algebra has a naturall…
Quotients of the Highwater algebra and its cover
Clara Franchi, Mario Mainardis, Justin McInroy
Axial algebras are a class of non-associative algebra with a strong link to finite (especially simple) groups which have recently received much attention. Of primary interest are t…
From forbidden configurations to a classification of some axial algebras of Monster type
Justin McInroy, Sergey Shpectorov
Ivanov introduced the shape of a Majorana algebra as a record of the -generated subalgebras arising in that algebra. As a broad generalisation of this concept and to free it fro…
Split spin factor algebras
J. McInroy, S. Shpectorov
Motivated by Yabe's classification of symmetric -generated axial algebras of Monster type, we introduce a large class of algebras of Monster type , generalisin…