Abstract
We classify the simple bounded weight modules of the Lie algebras \( \mathfrak{sl}\left(\infty \right),\kern0.5em \mathfrak{o}\left(\infty \right) \) and \( \mathfrak{sp}\left(\infty \right) \), and compute their annihilators in \( U\left(\mathfrak{sl}\left(\infty \right)\right),\kern0.5em U\left(\mathfrak{o}\left(\infty \right)\right),\kern0.5em U\left(\mathfrak{sp}\left(\infty \right)\right) \), respectively.
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Dimitar Grantcharov is supported in part by Simons Collaboration Grant 358245.
Ivan Penkov is supported in part by DFG grants PE 980/6-1 and 980/7-1.
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GRANTCHAROV, D., PENKOV, I. SIMPLE BOUNDED WEIGHT MODULES OF \( \mathfrak{sl}\left(\infty \right),\kern0.5em \mathfrak{o}\left(\infty \right),\kern0.5em \mathfrak{sp}\left(\infty \right) \). Transformation Groups 25, 1125–1160 (2020). https://doi.org/10.1007/s00031-020-09571-7
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DOI: https://doi.org/10.1007/s00031-020-09571-7