Abstract
AbstractLet be a semisimple complex Lie algebra and ⊂ be any algebraic subalgebra reductive in . For any simple finite dimensional -module V, we construct simple (, )-modules M with finite dimensional -isotypic components such that V is a -submodule of M and the Vogan norm of any simple -submodule V′ ⊂ M,V′ ≄ V, is greater than the Vogan norm of V. The (, )-modules M are subquotients of the fundamental series of (, )-modules.
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