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Classification of Quasifinite Modules over Lie Algebras of Matrix Differential Operators on the Circle

Yucai Su
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Abstract

We prove that an irreducible quasifinite module over the central extension of the Lie algebra of $N\times N$-matrix differential operators on the circle is either a highest or lowest weight module or else a module of the intermediate series. Furthermore, we give a complete classification of indecomposable uniformly bounded modules.

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BibTeXRIS

Yucai Su. 2005-11-21. Classification of Quasifinite Modules over Lie Algebras of Matrix Differential Operators on the Circle. https://arxiv.org/abs/math/0511524

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