The 2A-Majorana representations of the Harada-Norton group

Clara Franchi, Alexander A. Ivanov, Mario Mainardis

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

5 Citazioni (Scopus)

Abstract

We show that all $2A$-Majorana representations of the Harada-Norton group $F_5$ have the same shape. If ${\mathcal R}$ is such a representation, we determine, using the theory of association schemes, the dimension and the irreducible constituents of the linear span $U$ of the Majorana axes. Finally, we prove that, if ${\mathcal R}$ is based on the (unique) embedding of $F_5$ in the Monster, $U$ is closed under the algebra product.
Lingua originaleEnglish
pagine (da-a)175-187
Numero di pagine13
RivistaArs Mathematica Contemporanea
Volume11
Stato di pubblicazionePubblicato - 2015

Keywords

  • ASSOCIATION SCHEMES
  • MAJORANA REPRESENTATIONS
  • MONSTER ALGEBRA

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