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arxiv: 1807.02005 · v1 · pith:VYKXRRJMnew · submitted 2018-07-05 · 🧮 math.RT

On the existence of infinite-dimensional generalized harish-chandra modules

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keywords existenceinfinite-dimensionalmodulesreductiveadmissiblealgebraalgebraiccomplex
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We prove a general existence result for infinite-dimensional admissible (g;k)-modules, where g is a reductive finite-dimensional complex Lie algebra and k is a reductive in g algebraic subalgebra.

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