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Classification of deformations of a special Lie algebra of Cartan type

✍ Scribed by A. A. Tyurin

Publisher
SP MAIK Nauka/Interperiodica
Year
1978
Tongue
English
Weight
376 KB
Volume
24
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES

Representations of Cartan type Lie algeb
Representations of Cartan type Lie algebras in characteristic p
✍ 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.

Simple Lie Algebras of Special Type
Simple Lie Algebras of Special Type
✍ Jeffrey Bergen; D.S Passman πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 190 KB

Let K be a field, let A be an associative, commutative K-algebra, and let be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A = A βŠ— K = A becomes a Lie algebra, a Witt type algebra. In addition, there is a map div: A β†’ A called the divergence and i