Proceedings of the American Mathematical Society

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

Author(s): Yucai Su
Journal: Proc. Amer. Math. Soc. 133 (2005), 1949-1957.
MSC (2000): Primary 17B10, 17B65, 17B66, 17B68
Posted: January 31, 2005
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 17B10, 17B65, 17B66, 17B68

Yucai Su
Affiliation: Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, People's Republic of China --- and --- Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
Email: ycsu@sjtu.edu.cn

DOI: 10.1090/S0002-9939-05-07881-0
PII: S 0002-9939(05)07881-0
Received by editor(s): February 3, 2003
Received by editor(s) in revised form: April 1, 2004
Posted: January 31, 2005
Additional Notes: The author was supported by an NSF grant 10171064 of China and two grants, ``Excellent Young Teacher Program'' and ``Trans-Century Training Programme Foundation for the Talents'', from the Ministry of Education of China.
Communicated by: Dan M. Barbasch
Copyright of article: Copyright 2005, American Mathematical Society

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