Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896542 | Journal of Geometry and Physics | 2011 | 16 Pages |
Abstract
We prove that the specialization to q=1q=1 of a Kirillov–Reshetikhin module for an untwisted quantum affine algebra of classical type is projective in a suitable category. This yields a uniform character formula for the Kirillov–Reshetikhin modules. We conjecture that these results hold for specializations of minimal affinization with some restriction on the corresponding highest weight. We discuss the connection with the conjecture of Nakai and Nakanishi on qq-characters of minimal affinizations. We establish this conjecture in some special cases. This also leads us to conjecture an alternating sum formula for Jacobi–Trudi determinants.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Vyjayanthi Chari, Jacob Greenstein,