Simple bounded weight modules of \(\mathfrak{sl}(\infty)\), \(\mathfrak{o}(\infty)\), \(\mathfrak{sp}(\infty) \) (Q2210569)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simple bounded weight modules of \(\mathfrak{sl}(\infty)\), \(\mathfrak{o}(\infty)\), \(\mathfrak{sp}(\infty) \) |
scientific article |
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Simple bounded weight modules of \(\mathfrak{sl}(\infty)\), \(\mathfrak{o}(\infty)\), \(\mathfrak{sp}(\infty) \) (English)
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7 November 2020
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The paper under review provides a classification for simple bounded weight modules over the Lie algebras \(\mathfrak{sl}(\infty)\), \(\mathfrak{o}(\infty)\), \(\mathfrak{sp}(\infty)\) and determines the annihilators of these modules in the corresponding universal enveloping algebras.
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direct limit Lie algebra, Weyl algebra, weight module, localization, annihilator
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