Abstract
A method is investigated for inducing highest-weight representations for the quantum group Uq(gl(n)) from the canonical subalgebra Uq(gl(n-1)) when q is a root of unity. We classify the irreps into two types, typical and atypical. Where the former is a generalization of the class of irreps with maximal dimensionality. The structures of both the typical and atypical irreps are studied; in particular, a sufficiency condition is given for an irrep to be typical. As examples, we consider flat representations induced from a one-dimensional representation of the canonical subalgebra and representations induced from vector representation.
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