INVESTIGADORES
LIBERATI Jose Ignacio
artículos
Título:
Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators
Autor/es:
GARCIA, JOSE IGNACIO; LIBERATI, JOSE
Revista:
ISRN Mathematical Physics
Editorial:
Hindawi Publishing Corporation
Referencias:
Año: 2013
ISSN:
2090-4673
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.