Abstract
We prove a general existence result for infinite-dimensional admissible \((\mathfrak {g},\mathfrak {k})\)-modules, where \(\mathfrak {g}\) is a reductive finite-dimensional complex Lie algebra and \(\mathfrak {k}\) is a reductive in \(\mathfrak {g}\) algebraic subalgebra.
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Acknowledgements
We acknowledge the hospitality of the American Institute of Mathematics in San Jose where this paper was conceived during a SQuaRE meeting. IP has been supported in part by DFG grant PE 980/6-1.
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Penkov, I., Zuckerman, G. On the existence of infinite-dimensional generalized Harish-Chandra modules. São Paulo J. Math. Sci. 12, 290–294 (2018). https://doi.org/10.1007/s40863-018-0093-0
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DOI: https://doi.org/10.1007/s40863-018-0093-0