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New Formulas and Conjectures for the Nabla Operator

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 نشر من قبل Fran\\c{c}ois Bergeron
 تاريخ النشر 2011
  مجال البحث
والبحث باللغة English
 تأليف Francois Bergeron




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The operator nabla, introduced by Garsia and the author, plays a crucial role in many aspect of the study of diagonal harmonics. Besides giving several new formulas involving this operator, we show how one is lead to representation theoretic explanations for conjectures about the effect of this operator on Schur functions.



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