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The Delta Conjecture at $q=1$

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 نشر من قبل Marino Romero
 تاريخ النشر 2016
  مجال البحث
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 تأليف Marino Romero




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We use a weight-preserving, sign-reversing involution to find a combinatorial expansion of $Delta_{e_k} e_n$ at $q=1$ in terms of the elementary symmetric function basis. We then use a weight-preserving bijection to prove the Delta Conjecture at $q=1$. The method of proof provides a variety of structures which can compute the inner product of $Delta_{e_k} e_n|_{q=1}$ with any symmetric function.



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