3 papers
math.RA2019
Decomposition algebras and axial algebras
Tom De Medts, Simon F. Peacock, Sergey Shpectorov +1
We introduce decomposition algebras as a natural generalization of axial algebras, Majorana algebras and the Griess algebra. They remedy three limitations of axial algebras: (1) Th…
math.RT2018
An upper bound for the representation dimension of group algebras with an elementary abelian Sylow -subgroup
Simon F. Peacock
Linckelmann showed in 2011 that a group algebra is separably equivalent to the group algebra of its Sylow p-subgroups. In this article we use this relationship, together with Macke…
math.RT2017
Separable equivalence, complexity and representation type
Simon F Peacock
We generalise the notion of separable equivalence, originally presented by Linckelmann (2011), to an equivalence relation on additive categories. We use this generalisation to show…