Irreducible weight modules over Witt algebras

Guo, Xiangqian; Zhao, Kaiming

doi:10.1090/S0002-9939-2010-10679-2

Irreducible weight modules over Witt algebras
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by Xiangqian Guo and Kaiming Zhao

Proc. Amer. Math. Soc. 139 (2011), 2367-2373

DOI: https://doi.org/10.1090/S0002-9939-2010-10679-2

Published electronically: December 9, 2010

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Abstract:

In 1986, Shen defined a class of modules over the Witt algebra $W_d$ from irreducible modules over the general linear Lie algebra $\mathfrak {gl}_d$, which were also given by Larsson in 1992. In 1996, Eswara Rao determined the irreducibility of these modules. In this paper, we use simpler methods to give a short and straightforward proof to the results of Eswara Rao.

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