paths and tableaux descriptions of jacobi-trudi determinant associated with quantum affine algebra of type $c_n$
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ID: 164785
2007
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Abstract
We study the Jacobi-Trudi-type determinant which is conjectured to be the $q$-character of a certain, in many cases irreducible, finite-dimensional representation of the quantum affine algebra of type $C_n$. Like the $D_n$ case studied by the authors recently, applying the Gessel-Viennot path method with an additional involution and a deformation of paths, we obtain an expression by a positive sum over a set of tuples of paths, which is naturally translated into the one over a set of tableaux on a skew diagram.
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nakai2007symmetry,paths
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| Authors | ;Wakako Nakai;Tomoki Nakanishi |
| Journal | Therapeutic drug monitoring |
| Year | 2007 |
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