Weil representations of finite general linear groups and finite special linear groups

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5 Scopus citations

Abstract

Let q be a prime power and let Gn be the general linear group GLn (q) or the special linear group SLn (q), with n ≥ 4. We prove two characterization theorems for the Weil representations of Gn in any characteristic coprime to q, one in terms of the restriction to a standard subgroup Gn-1, and another in terms of the restriction to a maximal parabolic subgroup of Gn.

Original languageEnglish (US)
Pages (from-to)481-498
Number of pages18
JournalPacific Journal of Mathematics
Volume279
Issue number1
DOIs
StatePublished - 2015

Keywords

  • Finite general linear groups
  • Finite special linear groups
  • Weil representations

ASJC Scopus subject areas

  • Mathematics(all)

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