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CLASSIFICATION OF GRADED LEFT-SYMMETRIC ALGEBRAIC STRUCTURES ON WITT AND VIRASORO ALGEBRAS

✍ Scribed by KONG, XIAOLI; CHEN, HONGJIA; BAI, CHENGMING


Book ID
120649442
Publisher
World Scientific Publishing Company
Year
2011
Tongue
English
Weight
300 KB
Volume
22
Category
Article
ISSN
0129-167X

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A class of non-graded left-symmetric alg
✍ Xiaomin Tang; Chengming Bai πŸ“‚ Article πŸ“… 2012 πŸ› John Wiley and Sons 🌐 English βš– 199 KB

## Abstract We classify the compatible left‐symmetric algebraic structures on the Witt algebra satisfying certain non‐graded conditions. It is unexpected that they are Novikov algebras. Furthermore, as applications, we study the induced non‐graded modules of the Witt algebra and the induced Lie alg