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arXiv · 0706.3337

Quasifinite representations of the Lie superalgebra of quantum pseudo differential operators

Carina Boyallian·Vanesa Meinardi
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Abstract

In this paper we extend general results obtained by V. Kac and J. Liberati, in "Unitary quasifinite representations of $W_\infty$", (Letters Math. Phys., 53 (2000), 11-27), for quasifinite highest weight representations of $\Z$-graded Lie algebras to ${1/2}\Z$-graded Lie superalgebras, and we apply these to classify the irreducible quasifinite highest weight modules of the Lie superalgebra of quantum pseudo-differential operators.

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Carina Boyallian, Vanesa Meinardi. 2007-06-22. Quasifinite representations of the Lie superalgebra of quantum pseudo differential operators. https://doi.org/10.1063/1.2834919

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