Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators
We classify the anti-involutions of the superalgebra of quantum pseudodifferential operators on the super circle 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 represe...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/10981 |
| Acesso em linha: | http://hdl.handle.net/11336/10981 |
| Access Level: | acceso abierto |
| Palavra-chave: | QUASIFINITE LIE SUPERALGEBRA https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | We classify the anti-involutions of the superalgebra of quantum pseudodifferential operators on the super circle 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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