Representation theory of the vertex algebraW1+∞

@article{Kac1996RepresentationTO,
title={Representation theory of the vertex algebraW1+∞},
author={Victor G. Kac and Andrey Radul},
journal={Transformation Groups},
year={1996},
volume={1},
pages={41-70}
}
• Published 1 March 1996
• Mathematics
• Transformation Groups
In our paper [KR] we began a systematic study of representations of the universal central extension of the Lie algebra of differential operators on the circle. This study was continued in the paper [FKRW] in the framework of vertex algebra theory. It was shown that the associated to simple vertex algebraW1+∞,N with positive integral central chargeN is isomorphic to the classical vertex algebraW(glN), which led to a classification of modules overW1+∞,N. In the present paper we study the remaing…
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