Some representations of nongraded Lie algebras of generalized Witt type

Details Some representations of nongraded Lie algebras of generalized Witt type Some representations of nongraded Lie algebras of generalized Witt type

2003-04-03

arxiv.org/abs/math/0304034v1

J .Alg., 246 (2001), 721-738

Mathematics

Representation Theory

16 pages, latex

Scientific paper

In a paper by Xu, some simple Lie algebras of generalized Cartan type were constructed, using the mixtures of grading operators and down-grading operators. Among them, are the simple Lie algebras of generalized Witt type, which are in general nongraded and have no torus. In this paper, some representations of these simple Lie algebras of generalized Witt type are presented.

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