Whittaker modules for generalized Weyl algebras
نویسندگان
چکیده
منابع مشابه
Unitarizable weight modules over generalized Weyl algebras
We define a notion of unitarizability for weight modules over a generalized Weyl algebra (of rank one, with commutative coeffiecient ring R), which is assumed to carry an involution of the form X∗ = Y , R∗ ⊆ R. We prove that a weight module V is unitarizable iff it is isomorphic to its finitistic dual V . Using the classification of weight modules by Drozd, Guzner and Ovsienko, we obtain necess...
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ژورنال
عنوان ژورنال: Representation Theory of the American Mathematical Society
سال: 2009
ISSN: 1088-4165
DOI: 10.1090/s1088-4165-09-00347-1