Mirabolic affine grassmannian and character sheaves

Michael Finkelberg, Victor Ginzburg, Roman Travkin

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)607-628
Number of pages22
JournalSelecta Mathematica, New Series
Volume14
Issue number3-4
DOIs
Publication statusPublished - May 2009
Externally publishedYes

Keywords

  • Mirabolic affine Grassmannian
  • Mirabolic character sheaves
  • Mirabolic Hall-Littlewood functions
  • Type B Kostka polynomials

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