Abstract
Multiple points of the spectrum in the reduction are separated by introducing a non-semisimple intermediate subalgebra and a weight scheme different from the Gel'fand-Tsetlin scheme. We suggest a method of constructing a weight basis in the space of a finite-dimensional irreducible representation of . The elements of this basis are labelled by such weight schemes. We also study the category of finite-dimensional highest-weight representations of this intermediate Lie algebra.
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