Mirabolic affine Grassmannian and character sheaves

• Michael Finkelberg ^[3] ; Victor Ginzburg ^[1] ; Roman Travkin ^[2]
  1. [1] University of Chicago

     University of Chicago

     City of Chicago, Estados Unidos

     
  2. [2] Massachusetts Institute of Technology

     Massachusetts Institute of Technology

     City of Cambridge, Estados Unidos

     
  3. [3] Mathematics Department, rm. 517, IMU, IITP and State University Higher School of Economy, Rusia

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 14, Nº. 3-4, 2009, págs. 607-628
• Idioma: inglés
• DOI: 10.1007/s00029-009-0509-x
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• Resumen

  • We compute the Frobenius trace functions of mirabolic character sheaves defined over a finite field. The answer is given in terms of the character values of general linear groups over the finite field, and the structure constants of multiplication in the mirabolic Hall–Littlewood basis of symmetric functions, introduced by Shoji.