Computing the dimension of a Majorana representation of the Harada-Norton group

Clara Franchi, Alexander Ivanov, Mario Mainardis

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this note we apply the theory of Association Schemes to computing the dimension of the subspace U of the 196,884-dimensional Conway- Norton-Griess algebra generated by a set of vectors (called Majorana axis) associated bijectively to the 2A-involutions of the Monster group contained in Harada-Norton group. It is still a conjecture that U is actually a subalgebra of the Conway-Norton-Griess algebra.
Original languageEnglish
Title of host publicationQuaderni del seminario matematico di Brescia 25/2013
Pages1-7
Number of pages7
Volume2013
Publication statusPublished - 2013

Keywords

  • Harada-Norton group
  • Majorana representation

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