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Irreducible weight modules over Witt algebras. (English) Zbl 1266.17004

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.

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
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