Simple sln+1-module structures on U(h)
Abstract
We study the category M consisting of U(sln+1)-modules whose restriction to U(h) is free of rank 1, in particular we classify isomorphism classes of objects in M and determine their submodule structure. This leads to new sln+1-modules. For n=1 we also find the central characters and derive an explicit formula for taking tensor product with a simple finite dimensional module.
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