Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle

Su, Yucai

doi:10.1090/S0002-9939-05-07881-0

Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle
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Proc. Amer. Math. Soc. 133 (2005), 1949-1957 Request permission

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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