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Produced Representations of Lie Algebras and Harish-Chandra Modules
1987
Transactions of the American Mathematical Society
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The comultiplication of the universal enveloping algebra of a Lie algebra is used to give modules produced from a subalgebra, an additional compatible structure of a module over an algebra of formal power series. When only the f·finite elements of this algebra act on a module, conditions are given that insure that it is the Harish·Chandra module of a produced module. The results are then applied to Zuckerman derived functor modules for reductive Lie algebras. The main applica· tion describes a
doi:10.2307/2000855
fatcat:e64fjepzifgj5j72azlue33opq