Matthew Bennett, Arkady Berenstein, Vyjayanthi Chari, Anton Khoroshkin, Sergei Loktev
We study the category IgrIgr of graded representations with finite-dimensional graded pieces for the current algebra g⊗C[t]g⊗C[t] where gg is a simple Lie algebra. This category has many similarities with the category OO of modules for gg , and in this paper, we prove an analog of the famous BGG duality in the case of sln+1sln+1 .
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