Irreducible weight modules over Witt algebras
Authors:
Xiangqian Guo and Kaiming Zhao
Journal:
Proc. Amer. Math. Soc. 139 (2011), 2367-2373
MSC (2010):
Primary 17B10, 17B20, 17B65, 17B66, 17B68
DOI:
https://doi.org/10.1090/S0002-9939-2010-10679-2
Published electronically:
December 9, 2010
MathSciNet review:
2784801
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: In 1986, Shen defined a class of modules over the Witt algebra from irreducible modules over the general linear Lie algebra
, 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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Additional Information
Xiangqian Guo
Affiliation:
Department of Mathematics, Zhengzhou University, Zhengzhou 450001, Henan, People’s Republic of China
Email:
guoxq@amss.ac.cn
Kaiming Zhao
Affiliation:
Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada N2L 3C5 – and – College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei 050016, People’s Republic of China
Email:
kzhao@wlu.ca
DOI:
https://doi.org/10.1090/S0002-9939-2010-10679-2
Keywords:
Witt algebra,
weight module,
irreducible module.
Received by editor(s):
April 7, 2010
Received by editor(s) in revised form:
June 23, 2010, and June 27, 2010
Published electronically:
December 9, 2010
Communicated by:
Gail R. Letzter
Article copyright:
© Copyright 2010
American Mathematical Society