A CONSTRUCTION OF GENERALIZED HARISH-CHANDRA MODULES WITH ARBITRARY MINIMAL k-TYPE
نویسندگان
چکیده
Let g be a semisimple complex Lie algebra and k ⊂ g be any algebraic subalgebra reductive in g. For any simple finite dimensional k-module V , we construct simple (g, k)-modules M with finite dimensional k-isotypic components such that V is a k-submodule of M and the Vogan norm of any simple k-submodule V ′ ⊂ M, V ′ 6≃ V , is greater than the Vogan norm of V . The (g, k)-modules M are subquotients of the fundamental series of (g, k)-modules introduced in [PZ2].
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GENERALIZED HARISH-CHANDRA MODULES WITH GENERIC MINIMAL k-TYPE
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