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MR1917385 (2003m:17013) 17B37 (81R12 82B23)
Kuniba, Atsuo; Nakanishi, Tomoki The Bethe equation at $q=0$, the Möbius inversion formula, and weight multiplicities. II. The $X\sb n$ case. J. Algebra 251 (2002), no. 2, 577--618.
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