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The structure positive of unitary irreducible representations of the noncompact uq(2,1) quantum algebra that are related to a positive discrete series is examined. With the aid of projection operators for the suq(2) subalgebra, a q-analog of the Gel’fand-Graev formulas is derived in the basis corresponding to the reduction u ...
Indecomposable representations are investigated for the Uq(gl(3)) quantum algebra. The matrix elements are explicitly determined for the elementary representations, and the extremal vectors which characterize invariant subspaces are given in explicit form. Quotient spaces are used to derive other representations from the elementary representations, including the finite-dimensional irreducible representations...
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