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Central extensions and invariant forms of cartan type Lie algebras of positive characteristic

โœ Scribed by A. S. Dzhumadil'daev

Publisher
Springer US
Year
1985
Tongue
English
Weight
136 KB
Volume
18
Category
Article
ISSN
0016-2663

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๐Ÿ“œ SIMILAR VOLUMES

Representations of Cartan type Lie algeb
Representations of Cartan type Lie algebras in characteristic p
โœ Bin Shu ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.

Braid groups, infinite Lie algebras of C
Braid groups, infinite Lie algebras of Cartan type and rings of invariants
โœ Stephen P. Humphries ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 260 KB

In this paper we show that each element ฮฑ of the pure braid group P n or the pure symmetric automorphism group H (n) of the free group F n of rank n can be represented as the special Lie algebra of Cartan type. There is a corresponding action of these groups on C[[a 1 , . . . , a r ]] and C[a 1 , .