The Schur indices of the cuspidal unipotent characters of the finite Chevalley groups $E\sb 7(q)$

Meinolf Josef Geck

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We show that the two cuspidal unipotent characters of a finite Chevalley group E-T(q) have Schur index 2, provided that q is an even power of a (sufficiently large) prime number p such that p equivalent to 1 mod 4. The proof uses a refinement of Kawanaka's generalized Gelfand-Graev representations and Some explicit Computations with the CHEVIE computer algebra system.

Original languageEnglish
Pages (from-to)201-215
Number of pages14
JournalOsaka Journal of Mathematics
Volume42
Issue number1
Publication statusPublished - 2005

Keywords

  • IRREDUCIBLE CHARACTERS
  • REPRESENTATIONS
  • SUPPORT

Cite this

The Schur indices of the cuspidal unipotent characters of the finite Chevalley groups $E\sb 7(q)$. / Geck, Meinolf Josef.

In: Osaka Journal of Mathematics, Vol. 42, No. 1, 2005, p. 201-215.

Research output: Contribution to journalArticle

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