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Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators
Fecha
2013-07Registro en:
Garcia, José Ignacio; Liberati, Jose Ignacio; Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators; Hindawi Publishing Corporation; ISRN Mathematical Physics; 2012; 7-2013; 1-13; 672872
2090-4673
Autor
Garcia, José Ignacio
Liberati, Jose Ignacio
Resumen
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.