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SUMMARY:An Introduction to Majorana Theory - Madeleine Whybrow\, Imperial 
 College London
DTSTART:20160115T150000Z
DTEND:20160115T160000Z
UID:TALK63680@talks.cam.ac.uk
CONTACT:Nicolas Dupré
DESCRIPTION:Majorana theory was introduced in 2009 by A.A. Ivanov as an ax
 iomatisation of certain properties of the Monster group $\\mathbb{M}$ and 
 the Greiss Algebra $V_{\\mathbb{M}}$. The main aim of Majorana theory is t
 o describe the subalgebra structure of $V_{\\mathbb{M}}$. Ivanov's work wa
 s inspired by a result of S. Sakuma who classified certain subalgebras of 
 $V_{\\mathbb{M}}$ within the context of Vertex Operator Algebras (VOAs)\, 
 objects which feature in the proof of Montrous Moonshine. \n\nThe crucial 
 definition in Majorana theory is that of a Majorana algebra\, a commutativ
 e real algebra generated by a set of idempotents which obeys certain axiom
 s. Similarly\, given a finite group $G$\, it is possible to define a Major
 ana representation of $G$. In this talk\, I will cover the basic ideas of 
 Majorana theory before discussing my own work on the Majorana representati
 ons of certain groups of interest in the context of the Monster. 
LOCATION:CMS\, MR4
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