On decomposition numbers and Alvis-Curtis duality

• Autores: Bernd Ackermann, Sibylle Schroll
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 3, 2007, págs. 509-520
• Idioma: inglés
• DOI: 10.1017/s0305004107000667
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• Resumen

  • We show that for general linear groups GLn(q) as well as for q-Schur algebras the knowledge of the modular Alvis�Curtis duality over fields of characteristic l, l q, is equivalent to the knowledge of the decomposition numbers.