Explicit construction of irreducible modules for Uq(gln)
Abstract
We construct new families of Uq(gln)-modules by continuation from finite dimensional representations. Each such module is associated with a combinatorial object - admissible set of relations defined in FRZ. More precisely, we prove that any admissible set of relations leads to a family of irreducible Uq(gln)-modules. Finite dimensional and generic modules are particular cases of this construction.
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