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Simple Lie algebras arising from Leavitt path algebras

โœ Scribed by Gene Abrams; Zachary Mesyan


Book ID
113740352
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
296 KB
Volume
216
Category
Article
ISSN
0022-4049

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Locally finite Leavitt path algebras
โœ G. Abrams; G. Aranda Pino; M. Siles Molina ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› The Hebrew University Magnes Press ๐ŸŒ English โš– 244 KB
Simple Lie color algebras from graded as
โœ Kaiming Zhao ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 232 KB

In this paper, a complete generalization of Herstein's theorem to the case of Lie color algebras is obtained. Let G be an abelian group, F a field of characteristic not 2, : G ร— G โ†’ F \* an antisymmetric bicharacter. Suppose A = gโˆˆG A g is a G-graded simple associative algebra over F . ## In this p