Globally irreducible representations of SL3(q) and SU3(q)

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Abstract

The notion of globally irreducible representations of finite groups was introduced by B. H. Gross, in order to explain new series of Euclidean lattices discovered by N. Elkies and T. Shioda using Mordell-Weil lattices of elliptic curves. In this paper we classify all globally irreducible representations coming from protective complex representations of the finite simple groups PSL3(q) and PSU3(q). The main result is that these representations are essentially those discovered by Gross.

Original languageEnglish (US)
Pages (from-to)225-251
Number of pages27
JournalIsrael Journal of Mathematics
Volume109
DOIs
StatePublished - Jan 1 1999

ASJC Scopus subject areas

  • Mathematics(all)

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