Madeleine Whybrow, TUK: Constructing Majorana representations

Vortrag im Oberseminar der AG Algebra, Geometrie und Computeralgebra

Referentin: Madeleine Whybrow, TUK

Zeit: Donnerstag 12.07.2018, 17:00 Uhr

Ort: Raum 48-436

Abstract: Majorana theory is an axiomatic framework to study objects related to the Monster group and its 196884 dimensional representation, the Griess algebra. The objects at the centre of the theory are known as Majorana algebras and can be studied either in their own right, or as Majorana representations of certain groups. Inspired by a paper of A. Seress, and joint with M. Pfeiffer, I have developed an algorithm in GAP to construct the Majorana representations of a given group. I will present the methods of this work as well as some consequences and results. I will also discuss future theoretical and computational approaches to the study of Majorana and axial algebras.