Semi-invariant matrices over finite groups

Yuval Ginosar, Ofir Schnabel

Research output: Contribution to journalArticlepeer-review


The semi-center of an artinian semisimple module-algebra over a finite group G can be described using the projective representations of G. In particular, the semi-center of the endomorphism ring of an irreducible projective representation over an algebraically closed field has a structure of a twisted group algebra. The following group-theoretic result is deduced: the center of a group of central type embeds into the group of its linear characters.

Original languageEnglish
Pages (from-to)199-212
Number of pages14
JournalAlgebras and Representation Theory
Issue number1
StatePublished - Feb 2014


  • Projective representation
  • Semi-invariants
  • Twisted group algebra

ASJC Scopus subject areas

  • General Mathematics


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