VERMA MODULES OVER p-ADIC ARENS-MICHAEL ENVELOPES OF REDUCTIVE LIE ALGEBRAS
نویسنده
چکیده
Let K be a locally compact p-adic field, g a split reductive Lie algebra over K and U(g) its universal enveloping algebra. We investigate the category Cg of coadmissible modules over the p-adic Arens-Michael envelope Û(g) of U(g). Let p ⊆ g be a parabolic subalgebra. The main result gives a canonical equivalence between the classical parabolic BGG category of g relative to p and a certain explicitly given highest weight subcategory of Cg. This completely clarifies the ”Verma module theory” over Û(g).
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