Standard Majorana representations of the symmetric groups

Clara Franchi, Alexander A. Ivanov, Mario Mainardis

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

4 Citazioni (Scopus)


Let G be a finite group, W be a R[G]-module equipped with a G-invariant positive definite bilinear form (,)_W, and X a finite generating set of W such that X is transitively permuted by G. We show a new method for computing the dimensions of the irreducible constituents of W. Further, we apply this method to Majorana representations of the symmetric groups and prove that the symmetric group S_n has a Majorana representation in which every permutation of type (2, 2) of S_n corresponds to a Majorana axis if and only if n≤12.
Lingua originaleEnglish
pagine (da-a)265-292
Numero di pagine28
RivistaJournal of Algebraic Combinatorics
Stato di pubblicazionePubblicato - 2016


  • Association scheme
  • Majorana representation
  • Monster group
  • Symmetric group


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