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Some Representations of Nongraded Lie Algebras of Generalized Witt Type

✍ Scribed by Yucai Su; Jianhua Zhou

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 182 KB
Volume: 246
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8978

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✦ Synopsis

In a recent 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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