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Representations of nongraded Lie algebras of block type

✍ Scribed by Yufeng Zhao


Publisher
Springer
Year
2006
Tongue
English
Weight
296 KB
Volume
119
Category
Article
ISSN
0025-2611

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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 re

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✍ Bin Shu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 214 KB

In this paper, we discuss the representations of Cartan type Lie algebras in characteristic p > 2, from the viewpoint of reducing rank. When the character is regular semisimple for generalized Witt algebras, we can essentially reduce higher-rank representations to lowerrank representations.