Guo, Xiangqian; Zhao, Kaiming Irreducible weight modules over Witt algebras. (English) Zbl 1266.17004 Proc. Am. Math. Soc. 139, No. 7, 2367-2373 (2011). In this paper the authors give a short and simple proof of a theorem of S. Eswara Rao from [J. Algebra 182, No. 2, 401–421 (1996; Zbl 0902.17012)] which addresses irreducibility of a certain class of modules over Witt algebras constructed by G. Shen in [Sci. Sin., Ser. A 29, 570–581 (1986; Zbl 0601.17013)] using the representation theory of the general linear Lie algebra. Reviewer: Volodymyr Mazorchuk (Uppsala) Cited in 20 Documents MSC: 17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) 17B20 Simple, semisimple, reductive (super)algebras 17B65 Infinite-dimensional Lie (super)algebras 17B66 Lie algebras of vector fields and related (super) algebras 17B68 Virasoro and related algebras Keywords:Witt algebra; weight module; irreducible module Citations:Zbl 0902.17012; Zbl 0601.17013 PDFBibTeX XMLCite \textit{X. Guo} and \textit{K. Zhao}, Proc. Am. Math. Soc. 139, No. 7, 2367--2373 (2011; Zbl 1266.17004) Full Text: DOI References: [1] Bruce N. Allison, Saeid Azam, Stephen Berman, Yun Gao, and Arturo Pianzola, Extended affine Lie algebras and their root systems, Mem. Amer. Math. Soc. 126 (1997), no. 603, x+122. · Zbl 0879.17012 · doi:10.1090/memo/0603 [2] Yuly Billig, A category of modules for the full toroidal Lie algebra, Int. Math. Res. Not. , posted on (2006), Art. 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