Highest weight representations of the Lie algebra \(\mathfrak{a}(\infty)\) (Q923711)
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scientific article; zbMATH DE number 4171172
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Highest weight representations of the Lie algebra \(\mathfrak{a}(\infty)\) |
scientific article; zbMATH DE number 4171172 |
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Highest weight representations of the Lie algebra \(\mathfrak{a}(\infty)\) (English)
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1990
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The Lie algebra \(\mathfrak a(\infty)\) is a completion and central extension of \(\mathfrak{gl}(\infty)\). The author sketches a method to construct highest weight representations, the results are based on an approach to highest weight representations of \(\mathfrak{gl}(\infty)\) (see the preceding review Zbl 0712.17008).
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infinite-dimensional Lie algebra
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central extension
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highest weight representations
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