An approach to Quantum Conformal Algebra
We aim to explore if inside a quantum vertex algebras, we can find the right notion of a quantum conformal algebra.
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arXiv subjects
Vanesa Meinardi
Publications and source records attributed to Vanesa Meinardi.
Irreducible Continuous Representations of the Simple Linearly Compact n-Lie Superalgebra of type $S$
In the present paper we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S. The classification is based on a bijective correspondence between the continuous representations of the n-Lie algebras S^n and continuous representations of the Lie algebra of Cartan type S, on which some two-sided ideal acts trivially.
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Irreducible Continuous Representations of the Simple Linearly Compact n-Lie Superalgebra of type W
In the present paper we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type W. The classification is based on a bijective correspondence between the continuous representations of the n-Lie algebras W^n and continuous representations of the Lie algebra of Cartan type W_{n-1}, on which some two-sided ideal acts trivially.
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Quasifinite representations of the Lie superalgebra of quantum pseudo differential operators
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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