Radicals of $S_n$-invariant positive semidefinite hermitian forms

Clara Franchi, Alexander A. Ivanov, Mario Mainardis

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

Abstract

Let G be a finite group, V a complex permutation module for G over a finite G-set X, and f:V×V→C a G-invariant positive semidefinite hermitian form on V. In this paper we show how to compute the radical V⊥ of f, by extending to nontransitive actions the classical combinatorial methods from the theory of association schemes. We apply this machinery to obtain a result for standard Majorana representations of the symmetric groups.
Lingua originaleEnglish
pagine (da-a)425-440
Numero di pagine16
RivistaAlgebraic Combinatorics
Stato di pubblicazionePubblicato - 2018

Keywords

  • Association scheme
  • Hermitian form
  • Majorana Representation
  • Symmetric group

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