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A Cartan type theorem for finite-dimensional algebras

โœ Scribed by Constantin Costara


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
138 KB
Volume
426
Category
Article
ISSN
0024-3795

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A Further Generalization of Algebras of
โœ Woo Jeon ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 165 KB

In this paper, a class of infinite-dimensional Lie algebras, called algebras of Cartan type W \*, over a field F of characteristic 0 is studied. These algebras are ลฝ . derivations of the field F x , x , . . . , x . We prove that algebras of Cartan type 1 2 n W \* are simple. We also prove that any d