On the existence of infinite-dimensional generalized Harish-Chandra modules

@article{Penkov2018OnTE,
  title={On the existence of infinite-dimensional generalized Harish-Chandra modules},
  author={Ivan Penkov and Gregg J. Zuckerman},
  journal={S{\~a}o Paulo Journal of Mathematical Sciences},
  year={2018},
  volume={12},
  pages={290-294}
}
We prove a general existence result for infinite-dimensional admissible $$(\mathfrak {g},\mathfrak {k})$$(g,k)-modules, where $$\mathfrak {g}$$g is a reductive finite-dimensional complex Lie algebra and $$\mathfrak {k}$$k is a reductive in $$\mathfrak {g}$$g algebraic subalgebra. 
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