Presenting affine q-Schur algebras

• Autores: S. R. Doty, R. M. Green
• Localización: Mathematische zeitschrift, ISSN 0025-5874, Vol. 256, Nº. 2, 2007, págs. 311-345
• Idioma: inglés
• DOI: 10.1007/s00209-006-0076-1
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• Resumen

  • We obtain a presentation of certain affine q-Schur algebras in terms of generators and relations. The presentation is obtained by adding more relations to the usual presentation of the quantized enveloping algebra of type affine . Our results extend and rely on the corresponding result for the q-Schur algebra of the symmetric group, which were proved by the first author and Giaquinto