Verma modules over p -adic Arens–Michael envelopes of reductive Lie algebras
نویسندگان
چکیده
منابع مشابه
VERMA MODULES OVER p-ADIC ARENS-MICHAEL ENVELOPES OF REDUCTIVE LIE ALGEBRAS
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 expli...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2013
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2013.04.038