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Weight modules over generalized Witt algebras with 1-dimensional weight spaces

Weight modules over generalized Witt algebras with 1-dimensional weight spaces

In this paper, indecomposable and irreducible weight representations with 1 dimensional weight spaces for simple generalized Witt algebras over any field of characteristic 0 are classified. There are five classes of such nontrivial indecomposable modules. 2000 Mathematics Subject Classification: 17B10, 17B20, 17B65, 17B66, 17B68. §