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On characters of irreducible highest weight modules of negative integer level over affine Lie algebras

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 نشر من قبل Minoru Wakimoto
 تاريخ النشر 2017
  مجال البحث
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We prove a character formula for the irreducible modules from the category $mathcal{O}$ over the simple affine vertex algebra of type $A_n$ and $C_n$ $(n geq 2)$ of level $k=-1$. We also give a conjectured character formula for types $D_4$, $E_6$, $E_7$, $E_8$ and levels $k=-1, cdots, -b$, where $b=2,3,4,6$ respectively.

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