Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudodifferential operators (Q1653871)
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scientific article; zbMATH DE number 6914208
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudodifferential operators |
scientific article; zbMATH DE number 6914208 |
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Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudodifferential operators (English)
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7 August 2018
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Summary: We classify the anti-involutions of the superalgebra of quantum pseudodifferential operators on the super circle \(\mathrm S^{1|1}\) preserving the principal gradation, producing in this way a family of Lie subalgebras minus fixed by these anti-involutions. We classify the irreducible quasifinite highest weight representations of the central extension of these Lie subalgebras.
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