Representations of finite special linear groups in non-defining characteristic

Alexander S. Kleshchev, Pham Huu Tiep

Research output: Contribution to journalArticle

20 Scopus citations

Abstract

We classify irreducible modules over the finite special linear group SLn (q) in the non-defining characteristic ℓ, describe restrictions of irreducible modules from GLn (q) to SLn (q), classify complex irreducible characters of SLn (q) irreducible modulo l, and discuss unitriangularity of the l-decomposition matrix for SLn (q).

Original languageEnglish (US)
Pages (from-to)478-504
Number of pages27
JournalAdvances in Mathematics
Volume220
Issue number2
DOIs
StatePublished - Jan 30 2009

Keywords

  • Finite special linear group
  • Group theory
  • Modular representation theory

ASJC Scopus subject areas

  • Mathematics(all)

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