An affine generalization of evacuation

• Michael Chmutov ^[4] ; Gabriel Frieden ^[1] ; Dongkwan Kim ^[2] ; Joel Brewster Lewis ^[3] ; Elena Yudovina ^[5]
  1. [1] University of Quebec at Montreal

     University of Quebec at Montreal

     Canadá

     
  2. [2] University of Minnesota

     University of Minnesota

     City of Minneapolis, Estados Unidos

     
  3. [3] George Washington University

     George Washington University

     Estados Unidos

     
  4. [4] C. H. Robinson, USA
  5. [5] CyberOptics, USA

  Mostrar afiliaciones +
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 28, Nº. 4, 2022
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We establish the existence of an involution on tabloids that is analogous to Schützenberger’s evacuation map on standard Young tableaux. We find that the number of its fixed points is given by evaluating a certain Green’s polynomial at q=−1, and satisfies a “domino-like” recurrence relation.