Representations of finite special linear groups in non-defining characteristic

• Autores: Alexander S. Kleshchev, Pham Huu Tiep
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 220, Nº 2, 2009, págs. 478-504
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.09.011
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• Resumen

  • 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).