Noncommutative Schur functions, switchboards, and Schur positivity

• Jonah Blasiak ^[1] ; Sergey Fomin ^[2]
  1. [1] Drexel University

     Drexel University

     City of Philadelphia, Estados Unidos

     
  2. [2] University of Michigan–Ann Arbor

     University of Michigan–Ann Arbor

     City of Ann Arbor, Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 23, Nº. 1, 2017, págs. 727-766
• Idioma: inglés
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• Resumen

  • We review and further develop a general approach to Schur positivity of symmetric functions based on the machinery of noncommutative Schur functions.

    This approach unifies ideas of Assaf, Lam, and Greene and the second author.